analysis.normed_space.star.multiplier ⟷ Mathlib.Analysis.NormedSpace.Star.Multiplier

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -244,18 +244,18 @@ theorem one_toProd : (1 : 𝓜(𝕜, A)).toProd = 1 :=
 #align double_centralizer.one_to_prod DoubleCentralizer.one_toProd
 -/
 
-#print DoubleCentralizer.nat_cast_toProd /-
+#print DoubleCentralizer.natCast_toProd /-
 @[simp]
-theorem nat_cast_toProd (n : ℕ) : (n : 𝓜(𝕜, A)).toProd = n :=
+theorem natCast_toProd (n : ℕ) : (n : 𝓜(𝕜, A)).toProd = n :=
   rfl
-#align double_centralizer.nat_cast_to_prod DoubleCentralizer.nat_cast_toProd
+#align double_centralizer.nat_cast_to_prod DoubleCentralizer.natCast_toProd
 -/
 
-#print DoubleCentralizer.int_cast_toProd /-
+#print DoubleCentralizer.intCast_toProd /-
 @[simp]
-theorem int_cast_toProd (n : ℤ) : (n : 𝓜(𝕜, A)).toProd = n :=
+theorem intCast_toProd (n : ℤ) : (n : 𝓜(𝕜, A)).toProd = n :=
   rfl
-#align double_centralizer.int_cast_to_prod DoubleCentralizer.int_cast_toProd
+#align double_centralizer.int_cast_to_prod DoubleCentralizer.intCast_toProd
 -/
 
 #print DoubleCentralizer.pow_toProd /-
@@ -339,28 +339,28 @@ theorem mul_snd (a b : 𝓜(𝕜, A)) : (a * b).snd = b.snd * a.snd :=
 #align double_centralizer.mul_snd DoubleCentralizer.mul_snd
 -/
 
-#print DoubleCentralizer.nat_cast_fst /-
-theorem nat_cast_fst (n : ℕ) : (n : 𝓜(𝕜, A)).fst = n :=
+#print DoubleCentralizer.natCast_fst /-
+theorem natCast_fst (n : ℕ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
-#align double_centralizer.nat_cast_fst DoubleCentralizer.nat_cast_fst
+#align double_centralizer.nat_cast_fst DoubleCentralizer.natCast_fst
 -/
 
-#print DoubleCentralizer.nat_cast_snd /-
-theorem nat_cast_snd (n : ℕ) : (n : 𝓜(𝕜, A)).snd = n :=
+#print DoubleCentralizer.natCast_snd /-
+theorem natCast_snd (n : ℕ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
-#align double_centralizer.nat_cast_snd DoubleCentralizer.nat_cast_snd
+#align double_centralizer.nat_cast_snd DoubleCentralizer.natCast_snd
 -/
 
-#print DoubleCentralizer.int_cast_fst /-
-theorem int_cast_fst (n : ℤ) : (n : 𝓜(𝕜, A)).fst = n :=
+#print DoubleCentralizer.intCast_fst /-
+theorem intCast_fst (n : ℤ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
-#align double_centralizer.int_cast_fst DoubleCentralizer.int_cast_fst
+#align double_centralizer.int_cast_fst DoubleCentralizer.intCast_fst
 -/
 
-#print DoubleCentralizer.int_cast_snd /-
-theorem int_cast_snd (n : ℤ) : (n : 𝓜(𝕜, A)).snd = n :=
+#print DoubleCentralizer.intCast_snd /-
+theorem intCast_snd (n : ℤ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
-#align double_centralizer.int_cast_snd DoubleCentralizer.int_cast_snd
+#align double_centralizer.int_cast_snd DoubleCentralizer.intCast_snd
 -/
 
 #print DoubleCentralizer.pow_fst /-

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -5,9 +5,9 @@ Authors: Jireh Loreaux, Jon Bannon
 -/
 import Algebra.Star.StarAlgHom
 import Analysis.NormedSpace.Star.Basic
-import Analysis.NormedSpace.OperatorNorm
-import Analysis.SpecialFunctions.Pow.Nnreal
-import Analysis.NormedSpace.Star.Mul
+import Analysis.NormedSpace.OperatorNorm.Basic
+import Analysis.SpecialFunctions.Pow.NNReal
+import Analysis.NormedSpace.Star.Unitization
 
 #align_import analysis.normed_space.star.multiplier from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
 
@@ -204,7 +204,7 @@ instance : Pow 𝓜(𝕜, A) ℕ
       induction' n with k hk generalizing x y
       · rfl
       · rw [Prod.pow_snd, Prod.pow_fst] at hk ⊢
-        rw [pow_succ a.snd, mul_apply, a.central, hk, pow_succ' a.fst, mul_apply]⟩
+        rw [pow_succ' a.snd, mul_apply, a.central, hk, pow_succ a.fst, mul_apply]⟩
 
 instance : Inhabited 𝓜(𝕜, A) :=
   ⟨0⟩

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -794,7 +794,7 @@ instance : CstarRing 𝓜(𝕜, A)
           exact key x y (mem_closedBall_zero_iff.1 hx) (mem_closedBall_zero_iff.1 hy)
         · simp only [Set.mem_image, Set.mem_setOf_eq, exists_prop, exists_exists_and_eq_and]
           have hr' : r.sqrt < ‖a‖₊ := ‖a‖₊.sqrt_mul_self ▸ NNReal.sqrt_lt_sqrt.2 hr
-          simp_rw [← nnnorm_fst, ← Sup_closed_unit_ball_eq_nnnorm] at hr' 
+          simp_rw [← nnnorm_fst, ← Sup_closed_unit_ball_eq_nnnorm] at hr'
           obtain ⟨_, ⟨x, hx, rfl⟩, hxr⟩ := exists_lt_of_lt_csSup (hball.image _) hr'
           have hx' : ‖x‖₊ ≤ 1 := mem_closedBall_zero_iff.1 hx
           refine' ⟨star x, mem_closedBall_zero_iff.2 ((nnnorm_star x).trans_le hx'), _⟩

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -793,7 +793,7 @@ instance : CstarRing 𝓜(𝕜, A)
           rintro - ⟨y, hy, rfl⟩
           exact key x y (mem_closedBall_zero_iff.1 hx) (mem_closedBall_zero_iff.1 hy)
         · simp only [Set.mem_image, Set.mem_setOf_eq, exists_prop, exists_exists_and_eq_and]
-          have hr' : r.sqrt < ‖a‖₊ := ‖a‖₊.sqrt_mul_self ▸ NNReal.sqrt_lt_sqrt_iff.2 hr
+          have hr' : r.sqrt < ‖a‖₊ := ‖a‖₊.sqrt_mul_self ▸ NNReal.sqrt_lt_sqrt.2 hr
           simp_rw [← nnnorm_fst, ← Sup_closed_unit_ball_eq_nnnorm] at hr' 
           obtain ⟨_, ⟨x, hx, rfl⟩, hxr⟩ := exists_lt_of_lt_csSup (hball.image _) hr'
           have hx' : ‖x‖₊ ≤ 1 := mem_closedBall_zero_iff.1 hx

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -804,7 +804,7 @@ instance : CstarRing 𝓜(𝕜, A)
             exact key (star x) y ((nnnorm_star x).trans_le hx') (mem_closedBall_zero_iff.1 hy)
           ·
             simpa only [a.central, star_star, CstarRing.nnnorm_star_mul_self, NNReal.sq_sqrt, ←
-              sq] using pow_lt_pow_of_lt_left hxr zero_le' two_pos
+              sq] using pow_lt_pow_left hxr zero_le' two_pos
 
 end DenselyNormed
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

@@ -3,11 +3,11 @@ Copyright (c) 2022 Jireh Loreaux. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux, Jon Bannon
 -/
-import Mathbin.Algebra.Star.StarAlgHom
-import Mathbin.Analysis.NormedSpace.Star.Basic
-import Mathbin.Analysis.NormedSpace.OperatorNorm
-import Mathbin.Analysis.SpecialFunctions.Pow.Nnreal
-import Mathbin.Analysis.NormedSpace.Star.Mul
+import Algebra.Star.StarAlgHom
+import Analysis.NormedSpace.Star.Basic
+import Analysis.NormedSpace.OperatorNorm
+import Analysis.SpecialFunctions.Pow.Nnreal
+import Analysis.NormedSpace.Star.Mul
 
 #align_import analysis.normed_space.star.multiplier from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

@@ -522,7 +522,7 @@ instance : StarAddMonoid 𝓜(𝕜, A) :=
 
 instance : StarRing 𝓜(𝕜, A) :=
   { DoubleCentralizer.starAddMonoid with
-    star_mul := fun a b => by
+    star_hMul := fun a b => by
       ext <;>
         simp only [star_fst, star_snd, mul_fst, mul_snd, star_star, ContinuousLinearMap.coe_mul,
           Function.comp_apply] }
@@ -755,7 +755,7 @@ variable [NonUnitalNormedRing A] [StarRing A] [CstarRing A]
 variable [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A] [StarModule 𝕜 A]
 
 instance : CstarRing 𝓜(𝕜, A)
-    where norm_star_mul_self a :=
+    where norm_star_hMul_self a :=
     congr_arg (coe : ℝ≥0 → ℝ) <|
       show ‖star a * a‖₊ = ‖a‖₊ * ‖a‖₊
         by

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

@@ -2,11 +2,6 @@
 Copyright (c) 2022 Jireh Loreaux. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux, Jon Bannon
-
-! This file was ported from Lean 3 source module analysis.normed_space.star.multiplier
-! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Star.StarAlgHom
 import Mathbin.Analysis.NormedSpace.Star.Basic
@@ -14,6 +9,8 @@ import Mathbin.Analysis.NormedSpace.OperatorNorm
 import Mathbin.Analysis.SpecialFunctions.Pow.Nnreal
 import Mathbin.Analysis.NormedSpace.Star.Mul
 
+#align_import analysis.normed_space.star.multiplier from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
+
 /-!
 # Multiplier Algebra of a C⋆-algebra
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

@@ -69,6 +69,7 @@ open NNReal ContinuousLinearMap MulOpposite
 
 universe u v
 
+#print DoubleCentralizer /-
 /-- The type of *double centralizers*, also known as the *multiplier algebra* and denoted by
 `𝓜(𝕜, A)`, of a non-unital normed algebra.
 
@@ -79,8 +80,8 @@ structure DoubleCentralizer (𝕜 : Type u) (A : Type v) [NontriviallyNormedFiel
     (A →L[𝕜] A) × (A →L[𝕜] A) where
   central : ∀ x y : A, snd x * y = x * fst y
 #align double_centralizer DoubleCentralizer
+-/
 
--- mathport name: «expr𝓜( , )»
 scoped[MultiplierAlgebra] notation "𝓜(" 𝕜 ", " A ")" => DoubleCentralizer 𝕜 A
 
 namespace DoubleCentralizer
@@ -102,9 +103,11 @@ algebra structure from `(A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ` to `𝓜(
 
 variable {𝕜 A}
 
+#print DoubleCentralizer.range_toProd /-
 theorem range_toProd : Set.range toProd = {lr : (A →L[𝕜] A) × _ | ∀ x y, lr.2 x * y = x * lr.1 y} :=
   Set.ext fun x => ⟨by rintro ⟨a, rfl⟩; exact a.central, fun hx => ⟨⟨x, hx⟩, rfl⟩⟩
 #align double_centralizer.range_to_prod DoubleCentralizer.range_toProd
+-/
 
 instance : Add 𝓜(𝕜, A)
     where add a b :=
@@ -144,18 +147,24 @@ instance : SMul S 𝓜(𝕜, A)
         show (s • a.snd) x * y = x * (s • a.fst) y by
           simp only [ContinuousLinearMap.smul_apply, mul_smul_comm, smul_mul_assoc, central] }
 
+#print DoubleCentralizer.smul_toProd /-
 @[simp]
 theorem smul_toProd (s : S) (a : 𝓜(𝕜, A)) : (s • a).toProd = s • a.toProd :=
   rfl
 #align double_centralizer.smul_to_prod DoubleCentralizer.smul_toProd
+-/
 
+#print DoubleCentralizer.smul_fst /-
 theorem smul_fst (s : S) (a : 𝓜(𝕜, A)) : (s • a).fst = s • a.fst :=
   rfl
 #align double_centralizer.smul_fst DoubleCentralizer.smul_fst
+-/
 
+#print DoubleCentralizer.smul_snd /-
 theorem smul_snd (s : S) (a : 𝓜(𝕜, A)) : (s • a).snd = s • a.snd :=
   rfl
 #align double_centralizer.smul_snd DoubleCentralizer.smul_snd
+-/
 
 variable {T : Type _} [Monoid T] [DistribMulAction T A] [SMulCommClass 𝕜 T A]
   [ContinuousConstSMul T A] [IsScalarTower T A A] [SMulCommClass T A A]
@@ -203,137 +212,195 @@ instance : Pow 𝓜(𝕜, A) ℕ
 instance : Inhabited 𝓜(𝕜, A) :=
   ⟨0⟩
 
+#print DoubleCentralizer.add_toProd /-
 @[simp]
 theorem add_toProd (a b : 𝓜(𝕜, A)) : (a + b).toProd = a.toProd + b.toProd :=
   rfl
 #align double_centralizer.add_to_prod DoubleCentralizer.add_toProd
+-/
 
+#print DoubleCentralizer.zero_toProd /-
 @[simp]
 theorem zero_toProd : (0 : 𝓜(𝕜, A)).toProd = 0 :=
   rfl
 #align double_centralizer.zero_to_prod DoubleCentralizer.zero_toProd
+-/
 
+#print DoubleCentralizer.neg_toProd /-
 @[simp]
 theorem neg_toProd (a : 𝓜(𝕜, A)) : (-a).toProd = -a.toProd :=
   rfl
 #align double_centralizer.neg_to_prod DoubleCentralizer.neg_toProd
+-/
 
+#print DoubleCentralizer.sub_toProd /-
 @[simp]
 theorem sub_toProd (a b : 𝓜(𝕜, A)) : (a - b).toProd = a.toProd - b.toProd :=
   rfl
 #align double_centralizer.sub_to_prod DoubleCentralizer.sub_toProd
+-/
 
+#print DoubleCentralizer.one_toProd /-
 @[simp]
 theorem one_toProd : (1 : 𝓜(𝕜, A)).toProd = 1 :=
   rfl
 #align double_centralizer.one_to_prod DoubleCentralizer.one_toProd
+-/
 
+#print DoubleCentralizer.nat_cast_toProd /-
 @[simp]
 theorem nat_cast_toProd (n : ℕ) : (n : 𝓜(𝕜, A)).toProd = n :=
   rfl
 #align double_centralizer.nat_cast_to_prod DoubleCentralizer.nat_cast_toProd
+-/
 
+#print DoubleCentralizer.int_cast_toProd /-
 @[simp]
 theorem int_cast_toProd (n : ℤ) : (n : 𝓜(𝕜, A)).toProd = n :=
   rfl
 #align double_centralizer.int_cast_to_prod DoubleCentralizer.int_cast_toProd
+-/
 
+#print DoubleCentralizer.pow_toProd /-
 @[simp]
 theorem pow_toProd (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).toProd = a.toProd ^ n :=
   rfl
 #align double_centralizer.pow_to_prod DoubleCentralizer.pow_toProd
+-/
 
+#print DoubleCentralizer.add_fst /-
 theorem add_fst (a b : 𝓜(𝕜, A)) : (a + b).fst = a.fst + b.fst :=
   rfl
 #align double_centralizer.add_fst DoubleCentralizer.add_fst
+-/
 
+#print DoubleCentralizer.add_snd /-
 theorem add_snd (a b : 𝓜(𝕜, A)) : (a + b).snd = a.snd + b.snd :=
   rfl
 #align double_centralizer.add_snd DoubleCentralizer.add_snd
+-/
 
+#print DoubleCentralizer.zero_fst /-
 theorem zero_fst : (0 : 𝓜(𝕜, A)).fst = 0 :=
   rfl
 #align double_centralizer.zero_fst DoubleCentralizer.zero_fst
+-/
 
+#print DoubleCentralizer.zero_snd /-
 theorem zero_snd : (0 : 𝓜(𝕜, A)).snd = 0 :=
   rfl
 #align double_centralizer.zero_snd DoubleCentralizer.zero_snd
+-/
 
+#print DoubleCentralizer.neg_fst /-
 theorem neg_fst (a : 𝓜(𝕜, A)) : (-a).fst = -a.fst :=
   rfl
 #align double_centralizer.neg_fst DoubleCentralizer.neg_fst
+-/
 
+#print DoubleCentralizer.neg_snd /-
 theorem neg_snd (a : 𝓜(𝕜, A)) : (-a).snd = -a.snd :=
   rfl
 #align double_centralizer.neg_snd DoubleCentralizer.neg_snd
+-/
 
+#print DoubleCentralizer.sub_fst /-
 theorem sub_fst (a b : 𝓜(𝕜, A)) : (a - b).fst = a.fst - b.fst :=
   rfl
 #align double_centralizer.sub_fst DoubleCentralizer.sub_fst
+-/
 
+#print DoubleCentralizer.sub_snd /-
 theorem sub_snd (a b : 𝓜(𝕜, A)) : (a - b).snd = a.snd - b.snd :=
   rfl
 #align double_centralizer.sub_snd DoubleCentralizer.sub_snd
+-/
 
+#print DoubleCentralizer.one_fst /-
 theorem one_fst : (1 : 𝓜(𝕜, A)).fst = 1 :=
   rfl
 #align double_centralizer.one_fst DoubleCentralizer.one_fst
+-/
 
+#print DoubleCentralizer.one_snd /-
 theorem one_snd : (1 : 𝓜(𝕜, A)).snd = 1 :=
   rfl
 #align double_centralizer.one_snd DoubleCentralizer.one_snd
+-/
 
+#print DoubleCentralizer.mul_fst /-
 @[simp]
 theorem mul_fst (a b : 𝓜(𝕜, A)) : (a * b).fst = a.fst * b.fst :=
   rfl
 #align double_centralizer.mul_fst DoubleCentralizer.mul_fst
+-/
 
+#print DoubleCentralizer.mul_snd /-
 @[simp]
 theorem mul_snd (a b : 𝓜(𝕜, A)) : (a * b).snd = b.snd * a.snd :=
   rfl
 #align double_centralizer.mul_snd DoubleCentralizer.mul_snd
+-/
 
+#print DoubleCentralizer.nat_cast_fst /-
 theorem nat_cast_fst (n : ℕ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
 #align double_centralizer.nat_cast_fst DoubleCentralizer.nat_cast_fst
+-/
 
+#print DoubleCentralizer.nat_cast_snd /-
 theorem nat_cast_snd (n : ℕ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
 #align double_centralizer.nat_cast_snd DoubleCentralizer.nat_cast_snd
+-/
 
+#print DoubleCentralizer.int_cast_fst /-
 theorem int_cast_fst (n : ℤ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
 #align double_centralizer.int_cast_fst DoubleCentralizer.int_cast_fst
+-/
 
+#print DoubleCentralizer.int_cast_snd /-
 theorem int_cast_snd (n : ℤ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
 #align double_centralizer.int_cast_snd DoubleCentralizer.int_cast_snd
+-/
 
+#print DoubleCentralizer.pow_fst /-
 theorem pow_fst (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).fst = a.fst ^ n :=
   rfl
 #align double_centralizer.pow_fst DoubleCentralizer.pow_fst
+-/
 
+#print DoubleCentralizer.pow_snd /-
 theorem pow_snd (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).snd = a.snd ^ n :=
   rfl
 #align double_centralizer.pow_snd DoubleCentralizer.pow_snd
+-/
 
+#print DoubleCentralizer.toProdMulOpposite /-
 /-- The natural injection from `double_centralizer.to_prod` except the second coordinate inherits
 `mul_opposite.op`. The ring structure on `𝓜(𝕜, A)` is the pullback under this map. -/
 def toProdMulOpposite : 𝓜(𝕜, A) → (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ := fun a =>
   (a.fst, MulOpposite.op a.snd)
 #align double_centralizer.to_prod_mul_opposite DoubleCentralizer.toProdMulOpposite
+-/
 
+#print DoubleCentralizer.toProdMulOpposite_injective /-
 theorem toProdMulOpposite_injective :
     Function.Injective (toProdMulOpposite : 𝓜(𝕜, A) → (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ) := fun a b h =>
   let h' := Prod.ext_iff.mp h
   ext _ _ <| Prod.ext h'.1 <| MulOpposite.op_injective h'.2
 #align double_centralizer.to_prod_mul_opposite_injective DoubleCentralizer.toProdMulOpposite_injective
+-/
 
+#print DoubleCentralizer.range_toProdMulOpposite /-
 theorem range_toProdMulOpposite :
     Set.range toProdMulOpposite = {lr : (A →L[𝕜] A) × _ | ∀ x y, unop lr.2 x * y = x * lr.1 y} :=
   Set.ext fun x =>
     ⟨by rintro ⟨a, rfl⟩; exact a.central, fun hx => ⟨⟨(x.1, unop x.2), hx⟩, Prod.ext rfl rfl⟩⟩
 #align double_centralizer.range_to_prod_mul_opposite DoubleCentralizer.range_toProdMulOpposite
+-/
 
 /-- The ring structure is inherited as the pullback under the injective map
 `double_centralizer.to_prod_mul_opposite : 𝓜(𝕜, A) → (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ` -/
@@ -343,6 +410,7 @@ instance : Ring 𝓜(𝕜, A) :=
     (fun x n => Prod.ext rfl <| MulOpposite.op_smul _ _)
     (fun x n => Prod.ext rfl <| MulOpposite.op_pow _ _) (fun _ => rfl) fun _ => rfl
 
+#print DoubleCentralizer.toProdHom /-
 /-- The canonical map `double_centralizer.to_prod` as an additive group homomorphism. -/
 @[simps]
 def toProdHom : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A)
@@ -351,7 +419,9 @@ def toProdHom : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A)
   map_zero' := rfl
   map_add' x y := rfl
 #align double_centralizer.to_prod_hom DoubleCentralizer.toProdHom
+-/
 
+#print DoubleCentralizer.toProdMulOppositeHom /-
 /-- The canonical map `double_centralizer.to_prod_mul_opposite` as a ring homomorphism. -/
 @[simps]
 def toProdMulOppositeHom : 𝓜(𝕜, A) →+* (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ
@@ -362,6 +432,7 @@ def toProdMulOppositeHom : 𝓜(𝕜, A) →+* (A →L[𝕜] A) × (A →L[𝕜]
   map_add' x y := rfl
   map_mul' x y := rfl
 #align double_centralizer.to_prod_mul_opposite_hom DoubleCentralizer.toProdMulOppositeHom
+-/
 
 /-- The module structure is inherited as the pullback under the additive group monomorphism
 `double_centralizer.to_prod : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A)` -/
@@ -389,18 +460,24 @@ instance : Algebra 𝕜 𝓜(𝕜, A)
     ext _ _ <|
       Prod.ext (Algebra.smul_def _ _) ((Algebra.smul_def _ _).trans <| Algebra.commutes _ _)
 
+#print DoubleCentralizer.algebraMap_toProd /-
 @[simp]
 theorem algebraMap_toProd (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).toProd = algebraMap 𝕜 _ k :=
   rfl
 #align double_centralizer.algebra_map_to_prod DoubleCentralizer.algebraMap_toProd
+-/
 
+#print DoubleCentralizer.algebraMap_fst /-
 theorem algebraMap_fst (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).fst = algebraMap 𝕜 _ k :=
   rfl
 #align double_centralizer.algebra_map_fst DoubleCentralizer.algebraMap_fst
+-/
 
+#print DoubleCentralizer.algebraMap_snd /-
 theorem algebraMap_snd (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).snd = algebraMap 𝕜 _ k :=
   rfl
 #align double_centralizer.algebra_map_snd DoubleCentralizer.algebraMap_snd
+-/
 
 /-!
 ### Star structure
@@ -424,15 +501,19 @@ instance : Star 𝓜(𝕜, A)
       central := fun x y => by
         simpa only [star_mul, star_star] using (congr_arg star (a.central (star y) (star x))).symm }
 
+#print DoubleCentralizer.star_fst /-
 @[simp]
 theorem star_fst (a : 𝓜(𝕜, A)) (b : A) : (star a).fst b = star (a.snd (star b)) :=
   rfl
 #align double_centralizer.star_fst DoubleCentralizer.star_fst
+-/
 
+#print DoubleCentralizer.star_snd /-
 @[simp]
 theorem star_snd (a : 𝓜(𝕜, A)) (b : A) : (star a).snd b = star (a.fst (star b)) :=
   rfl
 #align double_centralizer.star_snd DoubleCentralizer.star_snd
+-/
 
 instance : StarAddMonoid 𝓜(𝕜, A) :=
   {
@@ -471,15 +552,19 @@ noncomputable instance : CoeTC A 𝓜(𝕜, A)
       snd := (ContinuousLinearMap.mul 𝕜 A).flip a
       central := fun x y => mul_assoc _ _ _ }
 
+#print DoubleCentralizer.coe_fst /-
 @[simp, norm_cast]
 theorem coe_fst (a : A) : (a : 𝓜(𝕜, A)).fst = ContinuousLinearMap.mul 𝕜 A a :=
   rfl
 #align double_centralizer.coe_fst DoubleCentralizer.coe_fst
+-/
 
+#print DoubleCentralizer.coe_snd /-
 @[simp, norm_cast]
 theorem coe_snd (a : A) : (a : 𝓜(𝕜, A)).snd = (ContinuousLinearMap.mul 𝕜 A).flip a :=
   rfl
 #align double_centralizer.coe_snd DoubleCentralizer.coe_snd
+-/
 
 #print DoubleCentralizer.coe_eq_algebraMap /-
 theorem coe_eq_algebraMap : (coe : 𝕜 → 𝓜(𝕜, 𝕜)) = algebraMap 𝕜 𝓜(𝕜, 𝕜) := by
@@ -490,6 +575,7 @@ theorem coe_eq_algebraMap : (coe : 𝕜 → 𝓜(𝕜, 𝕜)) = algebraMap 𝕜
 #align double_centralizer.coe_eq_algebra_map DoubleCentralizer.coe_eq_algebraMap
 -/
 
+#print DoubleCentralizer.coeHom /-
 /-- The coercion of an algebra into its multiplier algebra as a non-unital star algebra
 homomorphism. -/
 @[simps]
@@ -508,6 +594,7 @@ noncomputable def coeHom [StarRing 𝕜] [StarRing A] [StarModule 𝕜 A] [Norme
     ext <;>
       simp only [coe_fst, coe_snd, mul_apply', star_fst, star_snd, flip_apply, star_mul, star_star]
 #align double_centralizer.coe_hom DoubleCentralizer.coeHom
+-/
 
 /-!
 ### Norm structures
@@ -527,23 +614,31 @@ noncomputable instance : NormedRing 𝓜(𝕜, A) :=
   NormedRing.induced _ _ (toProdMulOppositeHom : 𝓜(𝕜, A) →+* (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ)
     toProdMulOpposite_injective
 
+#print DoubleCentralizer.norm_def /-
 -- even though the definition is actually in terms of `double_centralizer.to_prod_mul_opposite`, we
 -- choose to see through that here to avoid `mul_opposite.op` appearing.
 theorem norm_def (a : 𝓜(𝕜, A)) : ‖a‖ = ‖a.toProdHom‖ :=
   rfl
 #align double_centralizer.norm_def DoubleCentralizer.norm_def
+-/
 
+#print DoubleCentralizer.nnnorm_def /-
 theorem nnnorm_def (a : 𝓜(𝕜, A)) : ‖a‖₊ = ‖a.toProdHom‖₊ :=
   rfl
 #align double_centralizer.nnnorm_def DoubleCentralizer.nnnorm_def
+-/
 
+#print DoubleCentralizer.norm_def' /-
 theorem norm_def' (a : 𝓜(𝕜, A)) : ‖a‖ = ‖a.toProdMulOppositeHom‖ :=
   rfl
 #align double_centralizer.norm_def' DoubleCentralizer.norm_def'
+-/
 
+#print DoubleCentralizer.nnnorm_def' /-
 theorem nnnorm_def' (a : 𝓜(𝕜, A)) : ‖a‖₊ = ‖a.toProdMulOppositeHom‖₊ :=
   rfl
 #align double_centralizer.nnnorm_def' DoubleCentralizer.nnnorm_def'
+-/
 
 instance : NormedSpace 𝕜 𝓜(𝕜, A) :=
   { DoubleCentralizer.module with
@@ -552,9 +647,11 @@ instance : NormedSpace 𝕜 𝓜(𝕜, A) :=
 instance : NormedAlgebra 𝕜 𝓜(𝕜, A) :=
   { DoubleCentralizer.algebra, DoubleCentralizer.normedSpace with }
 
+#print DoubleCentralizer.uniformEmbedding_toProdMulOpposite /-
 theorem uniformEmbedding_toProdMulOpposite : UniformEmbedding (@toProdMulOpposite 𝕜 A _ _ _ _ _) :=
   uniformEmbedding_comap toProdMulOpposite_injective
 #align double_centralizer.uniform_embedding_to_prod_mul_opposite DoubleCentralizer.uniformEmbedding_toProdMulOpposite
+-/
 
 instance [CompleteSpace A] : CompleteSpace 𝓜(𝕜, A) :=
   by
@@ -569,6 +666,7 @@ instance [CompleteSpace A] : CompleteSpace 𝓜(𝕜, A) :=
 
 variable [StarRing A] [CstarRing A]
 
+#print DoubleCentralizer.norm_fst_eq_snd /-
 /-- For `a : 𝓜(𝕜, A)`, the norms of `a.fst` and `a.snd` coincide, and hence these
 also coincide with `‖a‖` which is `max (‖a.fst‖) (‖a.snd‖)`. -/
 theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
@@ -613,30 +711,41 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
         nnnorm_star (a.snd b) ▸ mul_le_mul_right' (a.fst.le_op_nnnorm _) _
   exact le_antisymm (h0 _ _ h1) (h0 _ _ h2)
 #align double_centralizer.norm_fst_eq_snd DoubleCentralizer.norm_fst_eq_snd
+-/
 
+#print DoubleCentralizer.nnnorm_fst_eq_snd /-
 theorem nnnorm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖₊ = ‖a.snd‖₊ :=
   Subtype.ext <| norm_fst_eq_snd a
 #align double_centralizer.nnnorm_fst_eq_snd DoubleCentralizer.nnnorm_fst_eq_snd
+-/
 
+#print DoubleCentralizer.norm_fst /-
 @[simp]
 theorem norm_fst (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a‖ := by
   simp only [norm_def, to_prod_hom_apply, Prod.norm_def, norm_fst_eq_snd, max_eq_right,
     eq_self_iff_true]
 #align double_centralizer.norm_fst DoubleCentralizer.norm_fst
+-/
 
+#print DoubleCentralizer.norm_snd /-
 @[simp]
 theorem norm_snd (a : 𝓜(𝕜, A)) : ‖a.snd‖ = ‖a‖ := by rw [← norm_fst, norm_fst_eq_snd]
 #align double_centralizer.norm_snd DoubleCentralizer.norm_snd
+-/
 
+#print DoubleCentralizer.nnnorm_fst /-
 @[simp]
 theorem nnnorm_fst (a : 𝓜(𝕜, A)) : ‖a.fst‖₊ = ‖a‖₊ :=
   Subtype.ext (norm_fst a)
 #align double_centralizer.nnnorm_fst DoubleCentralizer.nnnorm_fst
+-/
 
+#print DoubleCentralizer.nnnorm_snd /-
 @[simp]
 theorem nnnorm_snd (a : 𝓜(𝕜, A)) : ‖a.snd‖₊ = ‖a‖₊ :=
   Subtype.ext (norm_snd a)
 #align double_centralizer.nnnorm_snd DoubleCentralizer.nnnorm_snd
+-/
 
 end NontriviallyNormed
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

@@ -600,7 +600,6 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
       _ ≤ ‖a.snd (star (a.fst b))‖₊ * ‖b‖₊ := (a.central (star (a.fst b)) b ▸ nnnorm_mul_le _ _)
       _ ≤ ‖a.snd‖₊ * ‖a.fst b‖₊ * ‖b‖₊ :=
         nnnorm_star (a.fst b) ▸ mul_le_mul_right' (a.snd.le_op_nnnorm _) _
-      
   have h2 : ∀ b, ‖a.snd b‖₊ ^ 2 ≤ ‖a.fst‖₊ * ‖a.snd b‖₊ * ‖b‖₊ :=
     by
     intro b
@@ -612,7 +611,6 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
       _ = ‖a.fst (star (a.snd b))‖₊ * ‖b‖₊ := (mul_comm _ _)
       _ ≤ ‖a.fst‖₊ * ‖a.snd b‖₊ * ‖b‖₊ :=
         nnnorm_star (a.snd b) ▸ mul_le_mul_right' (a.fst.le_op_nnnorm _) _
-      
   exact le_antisymm (h0 _ _ h1) (h0 _ _ h2)
 #align double_centralizer.norm_fst_eq_snd DoubleCentralizer.norm_fst_eq_snd
 
@@ -679,7 +677,6 @@ instance : CstarRing 𝓜(𝕜, A)
               (mul_le_mul' (a.fst.le_op_norm_of_le ((nnnorm_star x).trans_le hx))
                 (a.fst.le_op_norm_of_le hy))
             _ ≤ ‖a‖₊ * ‖a‖₊ := by simp only [mul_one, nnnorm_fst]
-            
         rw [← nnnorm_snd]
         simp only [mul_snd, ← Sup_closed_unit_ball_eq_nnnorm, star_snd, mul_apply]
         simp only [← @op_nnnorm_mul 𝕜 A]

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

@@ -102,8 +102,7 @@ algebra structure from `(A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ` to `𝓜(
 
 variable {𝕜 A}
 
-theorem range_toProd :
-    Set.range toProd = { lr : (A →L[𝕜] A) × _ | ∀ x y, lr.2 x * y = x * lr.1 y } :=
+theorem range_toProd : Set.range toProd = {lr : (A →L[𝕜] A) × _ | ∀ x y, lr.2 x * y = x * lr.1 y} :=
   Set.ext fun x => ⟨by rintro ⟨a, rfl⟩; exact a.central, fun hx => ⟨⟨x, hx⟩, rfl⟩⟩
 #align double_centralizer.range_to_prod DoubleCentralizer.range_toProd
 
@@ -331,7 +330,7 @@ theorem toProdMulOpposite_injective :
 #align double_centralizer.to_prod_mul_opposite_injective DoubleCentralizer.toProdMulOpposite_injective
 
 theorem range_toProdMulOpposite :
-    Set.range toProdMulOpposite = { lr : (A →L[𝕜] A) × _ | ∀ x y, unop lr.2 x * y = x * lr.1 y } :=
+    Set.range toProdMulOpposite = {lr : (A →L[𝕜] A) × _ | ∀ x y, unop lr.2 x * y = x * lr.1 y} :=
   Set.ext fun x =>
     ⟨by rintro ⟨a, rfl⟩; exact a.central, fun hx => ⟨⟨(x.1, unop x.2), hx⟩, Prod.ext rfl rfl⟩⟩
 #align double_centralizer.range_to_prod_mul_opposite DoubleCentralizer.range_toProdMulOpposite

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

@@ -75,8 +75,8 @@ universe u v
 If `x : 𝓜(𝕜, A)`, then `x.fst` and `x.snd` are what is usually referred to as $L$ and $R$. -/
 @[ext]
 structure DoubleCentralizer (𝕜 : Type u) (A : Type v) [NontriviallyNormedField 𝕜]
-  [NonUnitalNormedRing A] [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A] extends
-  (A →L[𝕜] A) × (A →L[𝕜] A) where
+    [NonUnitalNormedRing A] [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A] extends
+    (A →L[𝕜] A) × (A →L[𝕜] A) where
   central : ∀ x y : A, snd x * y = x * fst y
 #align double_centralizer DoubleCentralizer
 
@@ -198,7 +198,7 @@ instance : Pow 𝓜(𝕜, A) ℕ
     ⟨a.toProd ^ n, fun x y => by
       induction' n with k hk generalizing x y
       · rfl
-      · rw [Prod.pow_snd, Prod.pow_fst] at hk⊢
+      · rw [Prod.pow_snd, Prod.pow_fst] at hk ⊢
         rw [pow_succ a.snd, mul_apply, a.central, hk, pow_succ' a.fst, mul_apply]⟩
 
 instance : Inhabited 𝓜(𝕜, A) :=
@@ -692,7 +692,7 @@ instance : CstarRing 𝓜(𝕜, A)
           exact key x y (mem_closedBall_zero_iff.1 hx) (mem_closedBall_zero_iff.1 hy)
         · simp only [Set.mem_image, Set.mem_setOf_eq, exists_prop, exists_exists_and_eq_and]
           have hr' : r.sqrt < ‖a‖₊ := ‖a‖₊.sqrt_mul_self ▸ NNReal.sqrt_lt_sqrt_iff.2 hr
-          simp_rw [← nnnorm_fst, ← Sup_closed_unit_ball_eq_nnnorm] at hr'
+          simp_rw [← nnnorm_fst, ← Sup_closed_unit_ball_eq_nnnorm] at hr' 
           obtain ⟨_, ⟨x, hx, rfl⟩, hxr⟩ := exists_lt_of_lt_csSup (hball.image _) hr'
           have hx' : ‖x‖₊ ≤ 1 := mem_closedBall_zero_iff.1 hx
           refine' ⟨star x, mem_closedBall_zero_iff.2 ((nnnorm_star x).trans_le hx'), _⟩

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -63,7 +63,7 @@ separately.
 -/
 
 
-open NNReal ENNReal
+open scoped NNReal ENNReal
 
 open NNReal ContinuousLinearMap MulOpposite
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -69,9 +69,6 @@ open NNReal ContinuousLinearMap MulOpposite
 
 universe u v
 
-/- warning: double_centralizer -> DoubleCentralizer is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer DoubleCentralizerₓ'. -/
 /-- The type of *double centralizers*, also known as the *multiplier algebra* and denoted by
 `𝓜(𝕜, A)`, of a non-unital normed algebra.
 
@@ -105,9 +102,6 @@ algebra structure from `(A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ` to `𝓜(
 
 variable {𝕜 A}
 
-/- warning: double_centralizer.range_to_prod -> DoubleCentralizer.range_toProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.range_to_prod DoubleCentralizer.range_toProdₓ'. -/
 theorem range_toProd :
     Set.range toProd = { lr : (A →L[𝕜] A) × _ | ∀ x y, lr.2 x * y = x * lr.1 y } :=
   Set.ext fun x => ⟨by rintro ⟨a, rfl⟩; exact a.central, fun hx => ⟨⟨x, hx⟩, rfl⟩⟩
@@ -151,24 +145,15 @@ instance : SMul S 𝓜(𝕜, A)
         show (s • a.snd) x * y = x * (s • a.fst) y by
           simp only [ContinuousLinearMap.smul_apply, mul_smul_comm, smul_mul_assoc, central] }
 
-/- warning: double_centralizer.smul_to_prod -> DoubleCentralizer.smul_toProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.smul_to_prod DoubleCentralizer.smul_toProdₓ'. -/
 @[simp]
 theorem smul_toProd (s : S) (a : 𝓜(𝕜, A)) : (s • a).toProd = s • a.toProd :=
   rfl
 #align double_centralizer.smul_to_prod DoubleCentralizer.smul_toProd
 
-/- warning: double_centralizer.smul_fst -> DoubleCentralizer.smul_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.smul_fst DoubleCentralizer.smul_fstₓ'. -/
 theorem smul_fst (s : S) (a : 𝓜(𝕜, A)) : (s • a).fst = s • a.fst :=
   rfl
 #align double_centralizer.smul_fst DoubleCentralizer.smul_fst
 
-/- warning: double_centralizer.smul_snd -> DoubleCentralizer.smul_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.smul_snd DoubleCentralizer.smul_sndₓ'. -/
 theorem smul_snd (s : S) (a : 𝓜(𝕜, A)) : (s • a).snd = s • a.snd :=
   rfl
 #align double_centralizer.smul_snd DoubleCentralizer.smul_snd
@@ -219,219 +204,132 @@ instance : Pow 𝓜(𝕜, A) ℕ
 instance : Inhabited 𝓜(𝕜, A) :=
   ⟨0⟩
 
-/- warning: double_centralizer.add_to_prod -> DoubleCentralizer.add_toProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.add_to_prod DoubleCentralizer.add_toProdₓ'. -/
 @[simp]
 theorem add_toProd (a b : 𝓜(𝕜, A)) : (a + b).toProd = a.toProd + b.toProd :=
   rfl
 #align double_centralizer.add_to_prod DoubleCentralizer.add_toProd
 
-/- warning: double_centralizer.zero_to_prod -> DoubleCentralizer.zero_toProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.zero_to_prod DoubleCentralizer.zero_toProdₓ'. -/
 @[simp]
 theorem zero_toProd : (0 : 𝓜(𝕜, A)).toProd = 0 :=
   rfl
 #align double_centralizer.zero_to_prod DoubleCentralizer.zero_toProd
 
-/- warning: double_centralizer.neg_to_prod -> DoubleCentralizer.neg_toProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.neg_to_prod DoubleCentralizer.neg_toProdₓ'. -/
 @[simp]
 theorem neg_toProd (a : 𝓜(𝕜, A)) : (-a).toProd = -a.toProd :=
   rfl
 #align double_centralizer.neg_to_prod DoubleCentralizer.neg_toProd
 
-/- warning: double_centralizer.sub_to_prod -> DoubleCentralizer.sub_toProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.sub_to_prod DoubleCentralizer.sub_toProdₓ'. -/
 @[simp]
 theorem sub_toProd (a b : 𝓜(𝕜, A)) : (a - b).toProd = a.toProd - b.toProd :=
   rfl
 #align double_centralizer.sub_to_prod DoubleCentralizer.sub_toProd
 
-/- warning: double_centralizer.one_to_prod -> DoubleCentralizer.one_toProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.one_to_prod DoubleCentralizer.one_toProdₓ'. -/
 @[simp]
 theorem one_toProd : (1 : 𝓜(𝕜, A)).toProd = 1 :=
   rfl
 #align double_centralizer.one_to_prod DoubleCentralizer.one_toProd
 
-/- warning: double_centralizer.nat_cast_to_prod -> DoubleCentralizer.nat_cast_toProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.nat_cast_to_prod DoubleCentralizer.nat_cast_toProdₓ'. -/
 @[simp]
 theorem nat_cast_toProd (n : ℕ) : (n : 𝓜(𝕜, A)).toProd = n :=
   rfl
 #align double_centralizer.nat_cast_to_prod DoubleCentralizer.nat_cast_toProd
 
-/- warning: double_centralizer.int_cast_to_prod -> DoubleCentralizer.int_cast_toProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.int_cast_to_prod DoubleCentralizer.int_cast_toProdₓ'. -/
 @[simp]
 theorem int_cast_toProd (n : ℤ) : (n : 𝓜(𝕜, A)).toProd = n :=
   rfl
 #align double_centralizer.int_cast_to_prod DoubleCentralizer.int_cast_toProd
 
-/- warning: double_centralizer.pow_to_prod -> DoubleCentralizer.pow_toProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.pow_to_prod DoubleCentralizer.pow_toProdₓ'. -/
 @[simp]
 theorem pow_toProd (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).toProd = a.toProd ^ n :=
   rfl
 #align double_centralizer.pow_to_prod DoubleCentralizer.pow_toProd
 
-/- warning: double_centralizer.add_fst -> DoubleCentralizer.add_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.add_fst DoubleCentralizer.add_fstₓ'. -/
 theorem add_fst (a b : 𝓜(𝕜, A)) : (a + b).fst = a.fst + b.fst :=
   rfl
 #align double_centralizer.add_fst DoubleCentralizer.add_fst
 
-/- warning: double_centralizer.add_snd -> DoubleCentralizer.add_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.add_snd DoubleCentralizer.add_sndₓ'. -/
 theorem add_snd (a b : 𝓜(𝕜, A)) : (a + b).snd = a.snd + b.snd :=
   rfl
 #align double_centralizer.add_snd DoubleCentralizer.add_snd
 
-/- warning: double_centralizer.zero_fst -> DoubleCentralizer.zero_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.zero_fst DoubleCentralizer.zero_fstₓ'. -/
 theorem zero_fst : (0 : 𝓜(𝕜, A)).fst = 0 :=
   rfl
 #align double_centralizer.zero_fst DoubleCentralizer.zero_fst
 
-/- warning: double_centralizer.zero_snd -> DoubleCentralizer.zero_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.zero_snd DoubleCentralizer.zero_sndₓ'. -/
 theorem zero_snd : (0 : 𝓜(𝕜, A)).snd = 0 :=
   rfl
 #align double_centralizer.zero_snd DoubleCentralizer.zero_snd
 
-/- warning: double_centralizer.neg_fst -> DoubleCentralizer.neg_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.neg_fst DoubleCentralizer.neg_fstₓ'. -/
 theorem neg_fst (a : 𝓜(𝕜, A)) : (-a).fst = -a.fst :=
   rfl
 #align double_centralizer.neg_fst DoubleCentralizer.neg_fst
 
-/- warning: double_centralizer.neg_snd -> DoubleCentralizer.neg_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.neg_snd DoubleCentralizer.neg_sndₓ'. -/
 theorem neg_snd (a : 𝓜(𝕜, A)) : (-a).snd = -a.snd :=
   rfl
 #align double_centralizer.neg_snd DoubleCentralizer.neg_snd
 
-/- warning: double_centralizer.sub_fst -> DoubleCentralizer.sub_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.sub_fst DoubleCentralizer.sub_fstₓ'. -/
 theorem sub_fst (a b : 𝓜(𝕜, A)) : (a - b).fst = a.fst - b.fst :=
   rfl
 #align double_centralizer.sub_fst DoubleCentralizer.sub_fst
 
-/- warning: double_centralizer.sub_snd -> DoubleCentralizer.sub_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.sub_snd DoubleCentralizer.sub_sndₓ'. -/
 theorem sub_snd (a b : 𝓜(𝕜, A)) : (a - b).snd = a.snd - b.snd :=
   rfl
 #align double_centralizer.sub_snd DoubleCentralizer.sub_snd
 
-/- warning: double_centralizer.one_fst -> DoubleCentralizer.one_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.one_fst DoubleCentralizer.one_fstₓ'. -/
 theorem one_fst : (1 : 𝓜(𝕜, A)).fst = 1 :=
   rfl
 #align double_centralizer.one_fst DoubleCentralizer.one_fst
 
-/- warning: double_centralizer.one_snd -> DoubleCentralizer.one_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.one_snd DoubleCentralizer.one_sndₓ'. -/
 theorem one_snd : (1 : 𝓜(𝕜, A)).snd = 1 :=
   rfl
 #align double_centralizer.one_snd DoubleCentralizer.one_snd
 
-/- warning: double_centralizer.mul_fst -> DoubleCentralizer.mul_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.mul_fst DoubleCentralizer.mul_fstₓ'. -/
 @[simp]
 theorem mul_fst (a b : 𝓜(𝕜, A)) : (a * b).fst = a.fst * b.fst :=
   rfl
 #align double_centralizer.mul_fst DoubleCentralizer.mul_fst
 
-/- warning: double_centralizer.mul_snd -> DoubleCentralizer.mul_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.mul_snd DoubleCentralizer.mul_sndₓ'. -/
 @[simp]
 theorem mul_snd (a b : 𝓜(𝕜, A)) : (a * b).snd = b.snd * a.snd :=
   rfl
 #align double_centralizer.mul_snd DoubleCentralizer.mul_snd
 
-/- warning: double_centralizer.nat_cast_fst -> DoubleCentralizer.nat_cast_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.nat_cast_fst DoubleCentralizer.nat_cast_fstₓ'. -/
 theorem nat_cast_fst (n : ℕ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
 #align double_centralizer.nat_cast_fst DoubleCentralizer.nat_cast_fst
 
-/- warning: double_centralizer.nat_cast_snd -> DoubleCentralizer.nat_cast_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.nat_cast_snd DoubleCentralizer.nat_cast_sndₓ'. -/
 theorem nat_cast_snd (n : ℕ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
 #align double_centralizer.nat_cast_snd DoubleCentralizer.nat_cast_snd
 
-/- warning: double_centralizer.int_cast_fst -> DoubleCentralizer.int_cast_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.int_cast_fst DoubleCentralizer.int_cast_fstₓ'. -/
 theorem int_cast_fst (n : ℤ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
 #align double_centralizer.int_cast_fst DoubleCentralizer.int_cast_fst
 
-/- warning: double_centralizer.int_cast_snd -> DoubleCentralizer.int_cast_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.int_cast_snd DoubleCentralizer.int_cast_sndₓ'. -/
 theorem int_cast_snd (n : ℤ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
 #align double_centralizer.int_cast_snd DoubleCentralizer.int_cast_snd
 
-/- warning: double_centralizer.pow_fst -> DoubleCentralizer.pow_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.pow_fst DoubleCentralizer.pow_fstₓ'. -/
 theorem pow_fst (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).fst = a.fst ^ n :=
   rfl
 #align double_centralizer.pow_fst DoubleCentralizer.pow_fst
 
-/- warning: double_centralizer.pow_snd -> DoubleCentralizer.pow_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.pow_snd DoubleCentralizer.pow_sndₓ'. -/
 theorem pow_snd (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).snd = a.snd ^ n :=
   rfl
 #align double_centralizer.pow_snd DoubleCentralizer.pow_snd
 
-/- warning: double_centralizer.to_prod_mul_opposite -> DoubleCentralizer.toProdMulOpposite is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_mul_opposite DoubleCentralizer.toProdMulOppositeₓ'. -/
 /-- The natural injection from `double_centralizer.to_prod` except the second coordinate inherits
 `mul_opposite.op`. The ring structure on `𝓜(𝕜, A)` is the pullback under this map. -/
 def toProdMulOpposite : 𝓜(𝕜, A) → (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ := fun a =>
   (a.fst, MulOpposite.op a.snd)
 #align double_centralizer.to_prod_mul_opposite DoubleCentralizer.toProdMulOpposite
 
-/- warning: double_centralizer.to_prod_mul_opposite_injective -> DoubleCentralizer.toProdMulOpposite_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_mul_opposite_injective DoubleCentralizer.toProdMulOpposite_injectiveₓ'. -/
 theorem toProdMulOpposite_injective :
     Function.Injective (toProdMulOpposite : 𝓜(𝕜, A) → (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ) := fun a b h =>
   let h' := Prod.ext_iff.mp h
   ext _ _ <| Prod.ext h'.1 <| MulOpposite.op_injective h'.2
 #align double_centralizer.to_prod_mul_opposite_injective DoubleCentralizer.toProdMulOpposite_injective
 
-/- warning: double_centralizer.range_to_prod_mul_opposite -> DoubleCentralizer.range_toProdMulOpposite is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.range_to_prod_mul_opposite DoubleCentralizer.range_toProdMulOppositeₓ'. -/
 theorem range_toProdMulOpposite :
     Set.range toProdMulOpposite = { lr : (A →L[𝕜] A) × _ | ∀ x y, unop lr.2 x * y = x * lr.1 y } :=
   Set.ext fun x =>
@@ -446,9 +344,6 @@ instance : Ring 𝓜(𝕜, A) :=
     (fun x n => Prod.ext rfl <| MulOpposite.op_smul _ _)
     (fun x n => Prod.ext rfl <| MulOpposite.op_pow _ _) (fun _ => rfl) fun _ => rfl
 
-/- warning: double_centralizer.to_prod_hom -> DoubleCentralizer.toProdHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_hom DoubleCentralizer.toProdHomₓ'. -/
 /-- The canonical map `double_centralizer.to_prod` as an additive group homomorphism. -/
 @[simps]
 def toProdHom : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A)
@@ -458,9 +353,6 @@ def toProdHom : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A)
   map_add' x y := rfl
 #align double_centralizer.to_prod_hom DoubleCentralizer.toProdHom
 
-/- warning: double_centralizer.to_prod_mul_opposite_hom -> DoubleCentralizer.toProdMulOppositeHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_mul_opposite_hom DoubleCentralizer.toProdMulOppositeHomₓ'. -/
 /-- The canonical map `double_centralizer.to_prod_mul_opposite` as a ring homomorphism. -/
 @[simps]
 def toProdMulOppositeHom : 𝓜(𝕜, A) →+* (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ
@@ -498,24 +390,15 @@ instance : Algebra 𝕜 𝓜(𝕜, A)
     ext _ _ <|
       Prod.ext (Algebra.smul_def _ _) ((Algebra.smul_def _ _).trans <| Algebra.commutes _ _)
 
-/- warning: double_centralizer.algebra_map_to_prod -> DoubleCentralizer.algebraMap_toProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.algebra_map_to_prod DoubleCentralizer.algebraMap_toProdₓ'. -/
 @[simp]
 theorem algebraMap_toProd (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).toProd = algebraMap 𝕜 _ k :=
   rfl
 #align double_centralizer.algebra_map_to_prod DoubleCentralizer.algebraMap_toProd
 
-/- warning: double_centralizer.algebra_map_fst -> DoubleCentralizer.algebraMap_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.algebra_map_fst DoubleCentralizer.algebraMap_fstₓ'. -/
 theorem algebraMap_fst (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).fst = algebraMap 𝕜 _ k :=
   rfl
 #align double_centralizer.algebra_map_fst DoubleCentralizer.algebraMap_fst
 
-/- warning: double_centralizer.algebra_map_snd -> DoubleCentralizer.algebraMap_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.algebra_map_snd DoubleCentralizer.algebraMap_sndₓ'. -/
 theorem algebraMap_snd (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).snd = algebraMap 𝕜 _ k :=
   rfl
 #align double_centralizer.algebra_map_snd DoubleCentralizer.algebraMap_snd
@@ -542,17 +425,11 @@ instance : Star 𝓜(𝕜, A)
       central := fun x y => by
         simpa only [star_mul, star_star] using (congr_arg star (a.central (star y) (star x))).symm }
 
-/- warning: double_centralizer.star_fst -> DoubleCentralizer.star_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.star_fst DoubleCentralizer.star_fstₓ'. -/
 @[simp]
 theorem star_fst (a : 𝓜(𝕜, A)) (b : A) : (star a).fst b = star (a.snd (star b)) :=
   rfl
 #align double_centralizer.star_fst DoubleCentralizer.star_fst
 
-/- warning: double_centralizer.star_snd -> DoubleCentralizer.star_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.star_snd DoubleCentralizer.star_sndₓ'. -/
 @[simp]
 theorem star_snd (a : 𝓜(𝕜, A)) (b : A) : (star a).snd b = star (a.fst (star b)) :=
   rfl
@@ -595,17 +472,11 @@ noncomputable instance : CoeTC A 𝓜(𝕜, A)
       snd := (ContinuousLinearMap.mul 𝕜 A).flip a
       central := fun x y => mul_assoc _ _ _ }
 
-/- warning: double_centralizer.coe_fst -> DoubleCentralizer.coe_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.coe_fst DoubleCentralizer.coe_fstₓ'. -/
 @[simp, norm_cast]
 theorem coe_fst (a : A) : (a : 𝓜(𝕜, A)).fst = ContinuousLinearMap.mul 𝕜 A a :=
   rfl
 #align double_centralizer.coe_fst DoubleCentralizer.coe_fst
 
-/- warning: double_centralizer.coe_snd -> DoubleCentralizer.coe_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.coe_snd DoubleCentralizer.coe_sndₓ'. -/
 @[simp, norm_cast]
 theorem coe_snd (a : A) : (a : 𝓜(𝕜, A)).snd = (ContinuousLinearMap.mul 𝕜 A).flip a :=
   rfl
@@ -620,9 +491,6 @@ theorem coe_eq_algebraMap : (coe : 𝕜 → 𝓜(𝕜, 𝕜)) = algebraMap 𝕜
 #align double_centralizer.coe_eq_algebra_map DoubleCentralizer.coe_eq_algebraMap
 -/
 
-/- warning: double_centralizer.coe_hom -> DoubleCentralizer.coeHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.coe_hom DoubleCentralizer.coeHomₓ'. -/
 /-- The coercion of an algebra into its multiplier algebra as a non-unital star algebra
 homomorphism. -/
 @[simps]
@@ -660,32 +528,20 @@ noncomputable instance : NormedRing 𝓜(𝕜, A) :=
   NormedRing.induced _ _ (toProdMulOppositeHom : 𝓜(𝕜, A) →+* (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ)
     toProdMulOpposite_injective
 
-/- warning: double_centralizer.norm_def -> DoubleCentralizer.norm_def is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_def DoubleCentralizer.norm_defₓ'. -/
 -- even though the definition is actually in terms of `double_centralizer.to_prod_mul_opposite`, we
 -- choose to see through that here to avoid `mul_opposite.op` appearing.
 theorem norm_def (a : 𝓜(𝕜, A)) : ‖a‖ = ‖a.toProdHom‖ :=
   rfl
 #align double_centralizer.norm_def DoubleCentralizer.norm_def
 
-/- warning: double_centralizer.nnnorm_def -> DoubleCentralizer.nnnorm_def is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_def DoubleCentralizer.nnnorm_defₓ'. -/
 theorem nnnorm_def (a : 𝓜(𝕜, A)) : ‖a‖₊ = ‖a.toProdHom‖₊ :=
   rfl
 #align double_centralizer.nnnorm_def DoubleCentralizer.nnnorm_def
 
-/- warning: double_centralizer.norm_def' -> DoubleCentralizer.norm_def' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_def' DoubleCentralizer.norm_def'ₓ'. -/
 theorem norm_def' (a : 𝓜(𝕜, A)) : ‖a‖ = ‖a.toProdMulOppositeHom‖ :=
   rfl
 #align double_centralizer.norm_def' DoubleCentralizer.norm_def'
 
-/- warning: double_centralizer.nnnorm_def' -> DoubleCentralizer.nnnorm_def' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_def' DoubleCentralizer.nnnorm_def'ₓ'. -/
 theorem nnnorm_def' (a : 𝓜(𝕜, A)) : ‖a‖₊ = ‖a.toProdMulOppositeHom‖₊ :=
   rfl
 #align double_centralizer.nnnorm_def' DoubleCentralizer.nnnorm_def'
@@ -697,9 +553,6 @@ instance : NormedSpace 𝕜 𝓜(𝕜, A) :=
 instance : NormedAlgebra 𝕜 𝓜(𝕜, A) :=
   { DoubleCentralizer.algebra, DoubleCentralizer.normedSpace with }
 
-/- warning: double_centralizer.uniform_embedding_to_prod_mul_opposite -> DoubleCentralizer.uniformEmbedding_toProdMulOpposite is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.uniform_embedding_to_prod_mul_opposite DoubleCentralizer.uniformEmbedding_toProdMulOppositeₓ'. -/
 theorem uniformEmbedding_toProdMulOpposite : UniformEmbedding (@toProdMulOpposite 𝕜 A _ _ _ _ _) :=
   uniformEmbedding_comap toProdMulOpposite_injective
 #align double_centralizer.uniform_embedding_to_prod_mul_opposite DoubleCentralizer.uniformEmbedding_toProdMulOpposite
@@ -717,9 +570,6 @@ instance [CompleteSpace A] : CompleteSpace 𝓜(𝕜, A) :=
 
 variable [StarRing A] [CstarRing A]
 
-/- warning: double_centralizer.norm_fst_eq_snd -> DoubleCentralizer.norm_fst_eq_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_fst_eq_snd DoubleCentralizer.norm_fst_eq_sndₓ'. -/
 /-- For `a : 𝓜(𝕜, A)`, the norms of `a.fst` and `a.snd` coincide, and hence these
 also coincide with `‖a‖` which is `max (‖a.fst‖) (‖a.snd‖)`. -/
 theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
@@ -767,40 +617,25 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
   exact le_antisymm (h0 _ _ h1) (h0 _ _ h2)
 #align double_centralizer.norm_fst_eq_snd DoubleCentralizer.norm_fst_eq_snd
 
-/- warning: double_centralizer.nnnorm_fst_eq_snd -> DoubleCentralizer.nnnorm_fst_eq_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_fst_eq_snd DoubleCentralizer.nnnorm_fst_eq_sndₓ'. -/
 theorem nnnorm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖₊ = ‖a.snd‖₊ :=
   Subtype.ext <| norm_fst_eq_snd a
 #align double_centralizer.nnnorm_fst_eq_snd DoubleCentralizer.nnnorm_fst_eq_snd
 
-/- warning: double_centralizer.norm_fst -> DoubleCentralizer.norm_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_fst DoubleCentralizer.norm_fstₓ'. -/
 @[simp]
 theorem norm_fst (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a‖ := by
   simp only [norm_def, to_prod_hom_apply, Prod.norm_def, norm_fst_eq_snd, max_eq_right,
     eq_self_iff_true]
 #align double_centralizer.norm_fst DoubleCentralizer.norm_fst
 
-/- warning: double_centralizer.norm_snd -> DoubleCentralizer.norm_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_snd DoubleCentralizer.norm_sndₓ'. -/
 @[simp]
 theorem norm_snd (a : 𝓜(𝕜, A)) : ‖a.snd‖ = ‖a‖ := by rw [← norm_fst, norm_fst_eq_snd]
 #align double_centralizer.norm_snd DoubleCentralizer.norm_snd
 
-/- warning: double_centralizer.nnnorm_fst -> DoubleCentralizer.nnnorm_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_fst DoubleCentralizer.nnnorm_fstₓ'. -/
 @[simp]
 theorem nnnorm_fst (a : 𝓜(𝕜, A)) : ‖a.fst‖₊ = ‖a‖₊ :=
   Subtype.ext (norm_fst a)
 #align double_centralizer.nnnorm_fst DoubleCentralizer.nnnorm_fst
 
-/- warning: double_centralizer.nnnorm_snd -> DoubleCentralizer.nnnorm_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_snd DoubleCentralizer.nnnorm_sndₓ'. -/
 @[simp]
 theorem nnnorm_snd (a : 𝓜(𝕜, A)) : ‖a.snd‖₊ = ‖a‖₊ :=
   Subtype.ext (norm_snd a)

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -110,10 +110,7 @@ variable {𝕜 A}
 Case conversion may be inaccurate. Consider using '#align double_centralizer.range_to_prod DoubleCentralizer.range_toProdₓ'. -/
 theorem range_toProd :
     Set.range toProd = { lr : (A →L[𝕜] A) × _ | ∀ x y, lr.2 x * y = x * lr.1 y } :=
-  Set.ext fun x =>
-    ⟨by
-      rintro ⟨a, rfl⟩
-      exact a.central, fun hx => ⟨⟨x, hx⟩, rfl⟩⟩
+  Set.ext fun x => ⟨by rintro ⟨a, rfl⟩; exact a.central, fun hx => ⟨⟨x, hx⟩, rfl⟩⟩
 #align double_centralizer.range_to_prod DoubleCentralizer.range_toProd
 
 instance : Add 𝓜(𝕜, A)
@@ -438,9 +435,7 @@ Case conversion may be inaccurate. Consider using '#align double_centralizer.ran
 theorem range_toProdMulOpposite :
     Set.range toProdMulOpposite = { lr : (A →L[𝕜] A) × _ | ∀ x y, unop lr.2 x * y = x * lr.1 y } :=
   Set.ext fun x =>
-    ⟨by
-      rintro ⟨a, rfl⟩
-      exact a.central, fun hx => ⟨⟨(x.1, unop x.2), hx⟩, Prod.ext rfl rfl⟩⟩
+    ⟨by rintro ⟨a, rfl⟩; exact a.central, fun hx => ⟨⟨(x.1, unop x.2), hx⟩, Prod.ext rfl rfl⟩⟩
 #align double_centralizer.range_to_prod_mul_opposite DoubleCentralizer.range_toProdMulOpposite
 
 /-- The ring structure is inherited as the pullback under the injective map
@@ -745,8 +740,7 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
             simpa only [sqrt_sq, sqrt_mul] using fun b =>
               sqrt_le_sqrt_iff.mpr ((h b).trans (h1 b))))
     convert rpow_le_rpow this two_pos.le
-    · simp only [rpow_two, div_pow, sq_sqrt]
-      simp only [sq, mul_self_div_self]
+    · simp only [rpow_two, div_pow, sq_sqrt]; simp only [sq, mul_self_div_self]
     · simp only [rpow_two, sq_sqrt]
   have h1 : ∀ b, ‖a.fst b‖₊ ^ 2 ≤ ‖a.snd‖₊ * ‖a.fst b‖₊ * ‖b‖₊ :=
     by

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux, Jon Bannon
 
 ! This file was ported from Lean 3 source module analysis.normed_space.star.multiplier
-! leanprover-community/mathlib commit ba5ff5ad5d120fb0ef094ad2994967e9bfaf5112
+! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -17,6 +17,9 @@ import Mathbin.Analysis.NormedSpace.Star.Mul
 /-!
 # Multiplier Algebra of a C⋆-algebra
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Define the multiplier algebra of a C⋆-algebra as the algebra (over `𝕜`) of double centralizers,
 for which we provide the localized notation `𝓜(𝕜, A)`.  A double centralizer is a pair of
 continuous linear maps `L R : A →L[𝕜] A` satisfying the intertwining condition `R x * y = x * L y`.
@@ -67,10 +70,7 @@ open NNReal ContinuousLinearMap MulOpposite
 universe u v
 
 /- warning: double_centralizer -> DoubleCentralizer is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) (A : Type.{u2}) [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Type.{u2}
-but is expected to have type
-  forall (𝕜 : Type.{u1}) (A : Type.{u2}) [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Type.{u2}
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer DoubleCentralizerₓ'. -/
 /-- The type of *double centralizers*, also known as the *multiplier algebra* and denoted by
 `𝓜(𝕜, A)`, of a non-unital normed algebra.
@@ -106,10 +106,7 @@ algebra structure from `(A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ` to `𝓜(
 variable {𝕜 A}
 
 /- warning: double_centralizer.range_to_prod -> DoubleCentralizer.range_toProd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Set.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Set.range.{u2, succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (setOf.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (fun (lr : Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) => forall (x : A) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) lr) x) y) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) x (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) lr) y))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Set.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Set.range.{u2, succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (setOf.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (fun (lr : Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) => forall (x : A) (y : A), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) A ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (instHMul.{u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (NonUnitalNonAssocRing.toMul.{u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (NonUnitalNormedRing.toNonUnitalRing.{u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) _inst_2)))) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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_inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) lr) y))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.range_to_prod DoubleCentralizer.range_toProdₓ'. -/
 theorem range_toProd :
     Set.range toProd = { lr : (A →L[𝕜] A) × _ | ∀ x y, lr.2 x * y = x * lr.1 y } :=
@@ -158,10 +155,7 @@ instance : SMul S 𝓜(𝕜, A)
           simp only [ContinuousLinearMap.smul_apply, mul_smul_comm, smul_mul_assoc, central] }
 
 /- warning: double_centralizer.smul_to_prod -> DoubleCentralizer.smul_toProd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u3}} [_inst_6 : Monoid.{u3} S] [_inst_7 : DistribMulAction.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u1, u3, u2} 𝕜 S A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u3, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] (s : S) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (SMul.smul.{u3, u2} S (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasSmul.{u1, u2, u3} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) s a)) (SMul.smul.{u3, u2} S (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.smul.{u3, u2, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SMulZeroClass.toHasSmul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddZeroClass.toHasZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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(LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (ContinuousLinearMap.distribMulAction.{u1, u1, u3, u2, u2} 𝕜 𝕜 S (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toHasSmul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddZeroClass.toHasZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (ContinuousLinearMap.distribMulAction.{u1, u1, u3, u2, u2} 𝕜 𝕜 S (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))) s (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u1}} [_inst_6 : Monoid.{u1} S] [_inst_7 : DistribMulAction.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u3, u1, u2} 𝕜 S A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u1, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] (s : S) (a : DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSMul.hSMul.{u1, u2, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSMul.{u1, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instSMul.{u3, u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) s a)) (HSMul.hSMul.{u1, u2, u2} S (Prod.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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_inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A 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(UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SMulZeroClass.toSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A 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(NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A 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(NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A 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(NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A 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(UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribMulAction.toDistribSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (ContinuousLinearMap.distribMulAction.{u3, u3, u1, u2, u2} 𝕜 𝕜 S (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (ContinuousLinearMap.addCommGroup.proof_1.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DistribSMul.toSMulZeroClass.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribMulAction.toDistribSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (ContinuousLinearMap.distribMulAction.{u3, u3, u1, u2, u2} 𝕜 𝕜 S (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (ContinuousLinearMap.addCommGroup.proof_1.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))) s (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.smul_to_prod DoubleCentralizer.smul_toProdₓ'. -/
 @[simp]
 theorem smul_toProd (s : S) (a : 𝓜(𝕜, A)) : (s • a).toProd = s • a.toProd :=
@@ -169,20 +163,14 @@ theorem smul_toProd (s : S) (a : 𝓜(𝕜, A)) : (s • a).toProd = s • a.toP
 #align double_centralizer.smul_to_prod DoubleCentralizer.smul_toProd
 
 /- warning: double_centralizer.smul_fst -> DoubleCentralizer.smul_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u3}} [_inst_6 : Monoid.{u3} S] [_inst_7 : DistribMulAction.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u1, u3, u2} 𝕜 S A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u3, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] (s : S) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (SMul.smul.{u3, u2} S (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasSmul.{u1, u2, u3} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) s a))) (SMul.smul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SMulZeroClass.toHasSmul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddZeroClass.toHasZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (ContinuousLinearMap.distribMulAction.{u1, u1, u3, u2, u2} 𝕜 𝕜 S (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) s (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u1}} [_inst_6 : Monoid.{u1} S] [_inst_7 : DistribMulAction.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u3, u1, u2} 𝕜 S A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u1, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] (s : S) (a : DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSMul.hSMul.{u1, u2, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSMul.{u1, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instSMul.{u3, u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) s a))) (HSMul.hSMul.{u1, u2, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SMulZeroClass.toSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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(NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} 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(NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribMulAction.toDistribSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (ContinuousLinearMap.distribMulAction.{u3, u3, u1, u2, u2} 𝕜 𝕜 S (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (ContinuousLinearMap.addCommGroup.proof_1.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))) s (Prod.fst.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.smul_fst DoubleCentralizer.smul_fstₓ'. -/
 theorem smul_fst (s : S) (a : 𝓜(𝕜, A)) : (s • a).fst = s • a.fst :=
   rfl
 #align double_centralizer.smul_fst DoubleCentralizer.smul_fst
 
 /- warning: double_centralizer.smul_snd -> DoubleCentralizer.smul_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u3}} [_inst_6 : Monoid.{u3} S] [_inst_7 : DistribMulAction.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u1, u3, u2} 𝕜 S A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u3, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] (s : S) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (SMul.smul.{u3, u2} S (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasSmul.{u1, u2, u3} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) s a))) (SMul.smul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddZeroClass.toHasZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) 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(NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) 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_inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (ContinuousLinearMap.distribMulAction.{u1, u1, u3, u2, u2} 𝕜 𝕜 S (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) s (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u1}} [_inst_6 : Monoid.{u1} S] [_inst_7 : DistribMulAction.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u3, u1, u2} 𝕜 S A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u1, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] (s : S) (a : DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSMul.hSMul.{u1, u2, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSMul.{u1, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instSMul.{u3, u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) s a))) (HSMul.hSMul.{u1, u2, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A 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(NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribMulAction.toDistribSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (ContinuousLinearMap.distribMulAction.{u3, u3, u1, u2, u2} 𝕜 𝕜 S (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (ContinuousLinearMap.addCommGroup.proof_1.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))) s (Prod.snd.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.smul_snd DoubleCentralizer.smul_sndₓ'. -/
 theorem smul_snd (s : S) (a : 𝓜(𝕜, A)) : (s • a).snd = s • a.snd :=
   rfl
@@ -235,10 +223,7 @@ instance : Inhabited 𝓜(𝕜, A) :=
   ⟨0⟩
 
 /- warning: double_centralizer.add_to_prod -> DoubleCentralizer.add_toProd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HAdd.hAdd.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHAdd.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasAdd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b)) (HAdd.hAdd.{u2, u2, u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (instHAdd.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.hasAdd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.add.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.add.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HAdd.hAdd.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHAdd.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instAdd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b)) (HAdd.hAdd.{u1, u1, u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (instHAdd.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.instAddSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.add.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))) (ContinuousLinearMap.add.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.add_to_prod DoubleCentralizer.add_toProdₓ'. -/
 @[simp]
 theorem add_toProd (a b : 𝓜(𝕜, A)) : (a + b).toProd = a.toProd + b.toProd :=
@@ -246,10 +231,7 @@ theorem add_toProd (a b : 𝓜(𝕜, A)) : (a + b).toProd = a.toProd + b.toProd
 #align double_centralizer.add_to_prod DoubleCentralizer.add_toProd
 
 /- warning: double_centralizer.zero_to_prod -> DoubleCentralizer.zero_toProd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) 0 (Zero.zero.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A 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(UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) 0 (Zero.toOfNat0.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.zero_to_prod DoubleCentralizer.zero_toProdₓ'. -/
 @[simp]
 theorem zero_toProd : (0 : 𝓜(𝕜, A)).toProd = 0 :=
@@ -257,10 +239,7 @@ theorem zero_toProd : (0 : 𝓜(𝕜, A)).toProd = 0 :=
 #align double_centralizer.zero_to_prod DoubleCentralizer.zero_toProd
 
 /- warning: double_centralizer.neg_to_prod -> DoubleCentralizer.neg_toProd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNeg.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a)) (Neg.neg.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.hasNeg.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.neg.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.neg.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNeg.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a)) (Neg.neg.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.instNegSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.neg.{u2, u2, u1, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (ContinuousLinearMap.neg.{u2, u2, u1, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.neg_to_prod DoubleCentralizer.neg_toProdₓ'. -/
 @[simp]
 theorem neg_toProd (a : 𝓜(𝕜, A)) : (-a).toProd = -a.toProd :=
@@ -268,10 +247,7 @@ theorem neg_toProd (a : 𝓜(𝕜, A)) : (-a).toProd = -a.toProd :=
 #align double_centralizer.neg_to_prod DoubleCentralizer.neg_toProd
 
 /- warning: double_centralizer.sub_to_prod -> DoubleCentralizer.sub_toProd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSub.hSub.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSub.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasSub.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b)) (HSub.hSub.{u2, u2, u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (instHSub.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.hasSub.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.sub.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.sub.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSub.hSub.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSub.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instSub.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b)) (HSub.hSub.{u1, u1, u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, 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(NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (instHSub.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.instSubSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (ContinuousLinearMap.sub.{u2, u2, u1, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.sub_to_prod DoubleCentralizer.sub_toProdₓ'. -/
 @[simp]
 theorem sub_toProd (a b : 𝓜(𝕜, A)) : (a - b).toProd = a.toProd - b.toProd :=
@@ -279,10 +255,7 @@ theorem sub_toProd (a b : 𝓜(𝕜, A)) : (a - b).toProd = a.toProd - b.toProd
 #align double_centralizer.sub_to_prod DoubleCentralizer.sub_toProd
 
 /- warning: double_centralizer.one_to_prod -> DoubleCentralizer.one_toProd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (OfNat.mk.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.one.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) 1 (One.one.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A 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A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.hasOne.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.toOfNat1.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (OfNat.ofNat.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) 1 (One.toOfNat1.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instOneProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.one_to_prod DoubleCentralizer.one_toProdₓ'. -/
 @[simp]
 theorem one_toProd : (1 : 𝓜(𝕜, A)).toProd = 1 :=
@@ -290,10 +263,7 @@ theorem one_toProd : (1 : 𝓜(𝕜, A)).toProd = 1 :=
 #align double_centralizer.one_to_prod DoubleCentralizer.one_toProd
 
 /- warning: double_centralizer.nat_cast_to_prod -> DoubleCentralizer.nat_cast_toProd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Nat.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n)) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (HasLiftT.mk.{1, succ u2} Nat (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (CoeTCₓ.coe.{1, succ u2} Nat (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoidWithOne.toNatCast.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 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(Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))))) n)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Nat.cast.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) n)) (Nat.cast.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNatCast.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.nat_cast_to_prod DoubleCentralizer.nat_cast_toProdₓ'. -/
 @[simp]
 theorem nat_cast_toProd (n : ℕ) : (n : 𝓜(𝕜, A)).toProd = n :=
@@ -301,10 +271,7 @@ theorem nat_cast_toProd (n : ℕ) : (n : 𝓜(𝕜, A)).toProd = n :=
 #align double_centralizer.nat_cast_to_prod DoubleCentralizer.nat_cast_toProd
 
 /- warning: double_centralizer.int_cast_to_prod -> DoubleCentralizer.int_cast_toProd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Int.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasIntCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n)) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (HasLiftT.mk.{1, succ u2} Int (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (CoeTCₓ.coe.{1, succ u2} Int (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Int.castCoe.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddGroupWithOne.toHasIntCast.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.addGroupWithOne.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))))) n)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Int.cast.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instIntCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) n)) (Int.cast.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Ring.toIntCast.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instRingProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.int_cast_to_prod DoubleCentralizer.int_cast_toProdₓ'. -/
 @[simp]
 theorem int_cast_toProd (n : ℤ) : (n : 𝓜(𝕜, A)).toProd = n :=
@@ -312,10 +279,7 @@ theorem int_cast_toProd (n : ℤ) : (n : 𝓜(𝕜, A)).toProd = n :=
 #align double_centralizer.int_cast_to_prod DoubleCentralizer.int_cast_toProd
 
 /- warning: double_centralizer.pow_to_prod -> DoubleCentralizer.pow_toProd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u2, 0, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u2, 0} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.Nat.hasPow.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n)) (HPow.hPow.{u2, 0, u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) Nat (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (instHPow.{u2, 0} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) Nat (Prod.pow.{0, u2, u2} Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Monoid.Pow.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Monoid.Pow.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) n)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u1, 0, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u1, 0} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.instPow.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n)) (HPow.hPow.{u1, 0, u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) Nat (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 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(UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (instHPow.{u1, 0} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MonoidWithZero.toMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.monoidWithZero.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Monoid.Pow.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MonoidWithZero.toMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.monoidWithZero.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.pow_to_prod DoubleCentralizer.pow_toProdₓ'. -/
 @[simp]
 theorem pow_toProd (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).toProd = a.toProd ^ n :=
@@ -323,110 +287,77 @@ theorem pow_toProd (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).toProd = a.toProd ^ n
 #align double_centralizer.pow_to_prod DoubleCentralizer.pow_toProd
 
 /- warning: double_centralizer.add_fst -> DoubleCentralizer.add_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HAdd.hAdd.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHAdd.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasAdd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HAdd.hAdd.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHAdd.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.add.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HAdd.hAdd.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHAdd.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instAdd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (instHAdd.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.add.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.add_fst DoubleCentralizer.add_fstₓ'. -/
 theorem add_fst (a b : 𝓜(𝕜, A)) : (a + b).fst = a.fst + b.fst :=
   rfl
 #align double_centralizer.add_fst DoubleCentralizer.add_fst
 
 /- warning: double_centralizer.add_snd -> DoubleCentralizer.add_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HAdd.hAdd.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHAdd.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasAdd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HAdd.hAdd.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHAdd.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.add.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HAdd.hAdd.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHAdd.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instAdd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A 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𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A 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(Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.add_snd DoubleCentralizer.add_sndₓ'. -/
 theorem add_snd (a b : 𝓜(𝕜, A)) : (a + b).snd = a.snd + b.snd :=
   rfl
 #align double_centralizer.add_snd DoubleCentralizer.add_snd
 
 /- warning: double_centralizer.zero_fst -> DoubleCentralizer.zero_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasZero.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (OfNat.mk.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (Zero.zero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instZero.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (Zero.toOfNat0.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.zero_fst DoubleCentralizer.zero_fstₓ'. -/
 theorem zero_fst : (0 : 𝓜(𝕜, A)).fst = 0 :=
   rfl
 #align double_centralizer.zero_fst DoubleCentralizer.zero_fst
 
 /- warning: double_centralizer.zero_snd -> DoubleCentralizer.zero_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasZero.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (OfNat.mk.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (Zero.zero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instZero.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (Zero.toOfNat0.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.zero_snd DoubleCentralizer.zero_sndₓ'. -/
 theorem zero_snd : (0 : 𝓜(𝕜, A)).snd = 0 :=
   rfl
 #align double_centralizer.zero_snd DoubleCentralizer.zero_snd
 
 /- warning: double_centralizer.neg_fst -> DoubleCentralizer.neg_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNeg.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))) (Neg.neg.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.neg.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNeg.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))) (Neg.neg.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.neg.{u2, u2, u1, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.neg_fst DoubleCentralizer.neg_fstₓ'. -/
 theorem neg_fst (a : 𝓜(𝕜, A)) : (-a).fst = -a.fst :=
   rfl
 #align double_centralizer.neg_fst DoubleCentralizer.neg_fst
 
 /- warning: double_centralizer.neg_snd -> DoubleCentralizer.neg_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNeg.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))) (Neg.neg.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.neg.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNeg.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))) (Neg.neg.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.neg_snd DoubleCentralizer.neg_sndₓ'. -/
 theorem neg_snd (a : 𝓜(𝕜, A)) : (-a).snd = -a.snd :=
   rfl
 #align double_centralizer.neg_snd DoubleCentralizer.neg_snd
 
 /- warning: double_centralizer.sub_fst -> DoubleCentralizer.sub_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSub.hSub.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSub.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasSub.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HSub.hSub.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHSub.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.sub.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSub.hSub.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSub.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instSub.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HSub.hSub.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A 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(NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.sub_fst DoubleCentralizer.sub_fstₓ'. -/
 theorem sub_fst (a b : 𝓜(𝕜, A)) : (a - b).fst = a.fst - b.fst :=
   rfl
 #align double_centralizer.sub_fst DoubleCentralizer.sub_fst
 
 /- warning: double_centralizer.sub_snd -> DoubleCentralizer.sub_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) 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(NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHSub.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A 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(NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 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_inst_4 _inst_5) (DoubleCentralizer.instSub.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HSub.hSub.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) 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_inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (instHSub.{u1} (ContinuousLinearMap.{u2, u2, 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(DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.sub_snd DoubleCentralizer.sub_sndₓ'. -/
 theorem sub_snd (a b : 𝓜(𝕜, A)) : (a - b).snd = a.snd - b.snd :=
   rfl
 #align double_centralizer.sub_snd DoubleCentralizer.sub_snd
 
 /- warning: double_centralizer.one_fst -> DoubleCentralizer.one_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (OfNat.mk.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.one.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (OfNat.mk.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (One.one.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.toOfNat1.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (One.toOfNat1.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.one_fst DoubleCentralizer.one_fstₓ'. -/
 theorem one_fst : (1 : 𝓜(𝕜, A)).fst = 1 :=
   rfl
 #align double_centralizer.one_fst DoubleCentralizer.one_fst
 
 /- warning: double_centralizer.one_snd -> DoubleCentralizer.one_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (OfNat.mk.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.one.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (OfNat.mk.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (One.one.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.toOfNat1.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (One.toOfNat1.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.one_snd DoubleCentralizer.one_sndₓ'. -/
 theorem one_snd : (1 : 𝓜(𝕜, A)).snd = 1 :=
   rfl
 #align double_centralizer.one_snd DoubleCentralizer.one_snd
 
 /- warning: double_centralizer.mul_fst -> DoubleCentralizer.mul_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HMul.hMul.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHMul.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasMul.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HMul.hMul.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHMul.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.instMul.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HMul.hMul.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHMul.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instMul.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HMul.hMul.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (instHMul.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.instMul.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.mul_fst DoubleCentralizer.mul_fstₓ'. -/
 @[simp]
 theorem mul_fst (a b : 𝓜(𝕜, A)) : (a * b).fst = a.fst * b.fst :=
@@ -434,10 +365,7 @@ theorem mul_fst (a b : 𝓜(𝕜, A)) : (a * b).fst = a.fst * b.fst :=
 #align double_centralizer.mul_fst DoubleCentralizer.mul_fst
 
 /- warning: double_centralizer.mul_snd -> DoubleCentralizer.mul_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HMul.hMul.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHMul.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasMul.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HMul.hMul.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHMul.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.instMul.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HMul.hMul.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHMul.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instMul.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HMul.hMul.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A 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(Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.mul_snd DoubleCentralizer.mul_sndₓ'. -/
 @[simp]
 theorem mul_snd (a b : 𝓜(𝕜, A)) : (a * b).snd = b.snd * a.snd :=
@@ -445,70 +373,49 @@ theorem mul_snd (a b : 𝓜(𝕜, A)) : (a * b).snd = b.snd * a.snd :=
 #align double_centralizer.mul_snd DoubleCentralizer.mul_snd
 
 /- warning: double_centralizer.nat_cast_fst -> DoubleCentralizer.nat_cast_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Nat.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n))) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (HasLiftT.mk.{1, succ u2} Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (CoeTCₓ.coe.{1, succ u2} Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Nat.castCoe.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toNatCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))))) n)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Nat.cast.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) n))) (Nat.cast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNatCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.nat_cast_fst DoubleCentralizer.nat_cast_fstₓ'. -/
 theorem nat_cast_fst (n : ℕ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
 #align double_centralizer.nat_cast_fst DoubleCentralizer.nat_cast_fst
 
 /- warning: double_centralizer.nat_cast_snd -> DoubleCentralizer.nat_cast_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Nat.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n))) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (HasLiftT.mk.{1, succ u2} Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (CoeTCₓ.coe.{1, succ u2} Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Nat.castCoe.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toNatCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))))) n)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Nat.cast.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) n))) (Nat.cast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNatCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.nat_cast_snd DoubleCentralizer.nat_cast_sndₓ'. -/
 theorem nat_cast_snd (n : ℕ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
 #align double_centralizer.nat_cast_snd DoubleCentralizer.nat_cast_snd
 
 /- warning: double_centralizer.int_cast_fst -> DoubleCentralizer.int_cast_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Int.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasIntCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n))) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (HasLiftT.mk.{1, succ u2} Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (CoeTCₓ.coe.{1, succ u2} Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Int.castCoe.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toHasIntCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))) n)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Int.cast.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instIntCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) n))) (Int.cast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toIntCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.int_cast_fst DoubleCentralizer.int_cast_fstₓ'. -/
 theorem int_cast_fst (n : ℤ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
 #align double_centralizer.int_cast_fst DoubleCentralizer.int_cast_fst
 
 /- warning: double_centralizer.int_cast_snd -> DoubleCentralizer.int_cast_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Int.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasIntCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n))) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (HasLiftT.mk.{1, succ u2} Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (CoeTCₓ.coe.{1, succ u2} Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Int.castCoe.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toHasIntCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))) n)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Int.cast.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instIntCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) n))) (Int.cast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toIntCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.int_cast_snd DoubleCentralizer.int_cast_sndₓ'. -/
 theorem int_cast_snd (n : ℤ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
 #align double_centralizer.int_cast_snd DoubleCentralizer.int_cast_snd
 
 /- warning: double_centralizer.pow_fst -> DoubleCentralizer.pow_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u2, 0, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u2, 0} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.Nat.hasPow.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n))) (HPow.hPow.{u2, 0, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHPow.{u2, 0} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) Nat (Monoid.Pow.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) n)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u1, 0, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u1, 0} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.instPow.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n))) (HPow.hPow.{u1, 0, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) Nat (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (instHPow.{u1, 0} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) Nat (Monoid.Pow.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MonoidWithZero.toMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.monoidWithZero.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.pow_fst DoubleCentralizer.pow_fstₓ'. -/
 theorem pow_fst (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).fst = a.fst ^ n :=
   rfl
 #align double_centralizer.pow_fst DoubleCentralizer.pow_fst
 
 /- warning: double_centralizer.pow_snd -> DoubleCentralizer.pow_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u2, 0, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u2, 0} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.Nat.hasPow.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n))) (HPow.hPow.{u2, 0, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHPow.{u2, 0} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) Nat (Monoid.Pow.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) n)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u1, 0, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u1, 0} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.instPow.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n))) (HPow.hPow.{u1, 0, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) Nat (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (instHPow.{u1, 0} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) Nat (Monoid.Pow.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MonoidWithZero.toMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.monoidWithZero.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.pow_snd DoubleCentralizer.pow_sndₓ'. -/
 theorem pow_snd (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).snd = a.snd ^ n :=
   rfl
 #align double_centralizer.pow_snd DoubleCentralizer.pow_snd
 
 /- warning: double_centralizer.to_prod_mul_opposite -> DoubleCentralizer.toProdMulOpposite is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_mul_opposite DoubleCentralizer.toProdMulOppositeₓ'. -/
 /-- The natural injection from `double_centralizer.to_prod` except the second coordinate inherits
 `mul_opposite.op`. The ring structure on `𝓜(𝕜, A)` is the pullback under this map. -/
@@ -517,10 +424,7 @@ def toProdMulOpposite : 𝓜(𝕜, A) → (A →L[𝕜] A) × (A →L[𝕜] A)
 #align double_centralizer.to_prod_mul_opposite DoubleCentralizer.toProdMulOpposite
 
 /- warning: double_centralizer.to_prod_mul_opposite_injective -> DoubleCentralizer.toProdMulOpposite_injective is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Function.Injective.{succ u2, succ u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Function.Injective.{succ u2, succ u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_mul_opposite_injective DoubleCentralizer.toProdMulOpposite_injectiveₓ'. -/
 theorem toProdMulOpposite_injective :
     Function.Injective (toProdMulOpposite : 𝓜(𝕜, A) → (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ) := fun a b h =>
@@ -529,10 +433,7 @@ theorem toProdMulOpposite_injective :
 #align double_centralizer.to_prod_mul_opposite_injective DoubleCentralizer.toProdMulOpposite_injective
 
 /- warning: double_centralizer.range_to_prod_mul_opposite -> DoubleCentralizer.range_toProdMulOpposite is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Set.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Set.range.{u2, succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (setOf.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (fun (lr : Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) => forall (x : A) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.unop.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) lr)) x) y) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) x (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) lr) y))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Set.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Set.range.{u2, succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (setOf.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (fun (lr : Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) => forall (x : A) (y : A), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) A ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (instHMul.{u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (NonUnitalNonAssocRing.toMul.{u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (NonUnitalNormedRing.toNonUnitalRing.{u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) _inst_2)))) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) A A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (MulOpposite.unop.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A 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(NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) lr) y))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.range_to_prod_mul_opposite DoubleCentralizer.range_toProdMulOppositeₓ'. -/
 theorem range_toProdMulOpposite :
     Set.range toProdMulOpposite = { lr : (A →L[𝕜] A) × _ | ∀ x y, unop lr.2 x * y = x * lr.1 y } :=
@@ -551,10 +452,7 @@ instance : Ring 𝓜(𝕜, A) :=
     (fun x n => Prod.ext rfl <| MulOpposite.op_pow _ _) (fun _ => rfl) fun _ => rfl
 
 /- warning: double_centralizer.to_prod_hom -> DoubleCentralizer.toProdHom is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A 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(DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_hom DoubleCentralizer.toProdHomₓ'. -/
 /-- The canonical map `double_centralizer.to_prod` as an additive group homomorphism. -/
 @[simps]
@@ -566,10 +464,7 @@ def toProdHom : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A)
 #align double_centralizer.to_prod_hom DoubleCentralizer.toProdHom
 
 /- warning: double_centralizer.to_prod_mul_opposite_hom -> DoubleCentralizer.toProdMulOppositeHom is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], RingHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (NonAssocRing.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.nonAssocSemiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], RingHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_mul_opposite_hom DoubleCentralizer.toProdMulOppositeHomₓ'. -/
 /-- The canonical map `double_centralizer.to_prod_mul_opposite` as a ring homomorphism. -/
 @[simps]
@@ -609,10 +504,7 @@ instance : Algebra 𝕜 𝓜(𝕜, A)
       Prod.ext (Algebra.smul_def _ _) ((Algebra.smul_def _ _).trans <| Algebra.commutes _ _)
 
 /- warning: double_centralizer.algebra_map_to_prod -> DoubleCentralizer.algebraMap_toProd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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(NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.semiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (fun (_x : RingHom.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.semiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) => 𝕜 -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (RingHom.hasCoeToFun.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.semiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (algebraMap.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (Prod.semiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Prod.algebra.{u1, u2, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))) k)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 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(NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) 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𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonUnitalNonAssocSemiring.toMul.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toMul.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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_inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (RingHom.instRingHomClassRingHom.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A 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(NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))))) (algebraMap.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Prod.algebra.{u1, u2, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))) k)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.algebra_map_to_prod DoubleCentralizer.algebraMap_toProdₓ'. -/
 @[simp]
 theorem algebraMap_toProd (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).toProd = algebraMap 𝕜 _ k :=
@@ -620,20 +512,14 @@ theorem algebraMap_toProd (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).toProd
 #align double_centralizer.algebra_map_to_prod DoubleCentralizer.algebraMap_toProd
 
 /- warning: double_centralizer.algebra_map_fst -> DoubleCentralizer.algebraMap_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (fun (_x : RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) => 𝕜 -> (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.hasCoeToFun.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (algebraMap.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) k)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toMul.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (RingHom.instRingHomClassRingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))) (algebraMap.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) k)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.algebra_map_fst DoubleCentralizer.algebraMap_fstₓ'. -/
 theorem algebraMap_fst (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).fst = algebraMap 𝕜 _ k :=
   rfl
 #align double_centralizer.algebra_map_fst DoubleCentralizer.algebraMap_fst
 
 /- warning: double_centralizer.algebra_map_snd -> DoubleCentralizer.algebraMap_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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_inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) => 𝕜 -> (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.hasCoeToFun.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (algebraMap.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) k)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toMul.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (RingHom.instRingHomClassRingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))) (algebraMap.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) k)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.algebra_map_snd DoubleCentralizer.algebraMap_sndₓ'. -/
 theorem algebraMap_snd (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).snd = algebraMap 𝕜 _ k :=
   rfl
@@ -662,10 +548,7 @@ instance : Star 𝓜(𝕜, A)
         simpa only [star_mul, star_star] using (congr_arg star (a.central (star y) (star x))).symm }
 
 /- warning: double_centralizer.star_fst -> DoubleCentralizer.star_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_7 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_8 : StarModule.{u1, u2} 𝕜 A (InvolutiveStar.toHasStar.{u1} 𝕜 (StarAddMonoid.toHasInvolutiveStar.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (StarRing.toStarAddMonoid.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) _inst_6))) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7)] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Star.star.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasStar.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9) a))) b) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) b)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u2} 𝕜 (CommRing.toNonUnitalCommRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))] [_inst_7 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_8 : StarModule.{u2, u1} 𝕜 A (InvolutiveStar.toStar.{u2} 𝕜 (StarAddMonoid.toInvolutiveStar.{u2} 𝕜 (AddMonoidWithOne.toAddMonoid.{u2} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (StarRing.toStarAddMonoid.{u2} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u2} 𝕜 (CommRing.toNonUnitalCommRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_6))) (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7)] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : A), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) b) (FunLike.coe.{succ u1, succ u1, succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) _x) (ContinuousMapClass.toFunLike.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) A A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u1, u2, u2, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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a))) b) (Star.star.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) (InvolutiveStar.toStar.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} 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(NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.star_fst DoubleCentralizer.star_fstₓ'. -/
 @[simp]
 theorem star_fst (a : 𝓜(𝕜, A)) (b : A) : (star a).fst b = star (a.snd (star b)) :=
@@ -673,10 +556,7 @@ theorem star_fst (a : 𝓜(𝕜, A)) (b : A) : (star a).fst b = star (a.snd (sta
 #align double_centralizer.star_fst DoubleCentralizer.star_fst
 
 /- warning: double_centralizer.star_snd -> DoubleCentralizer.star_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_7 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_8 : StarModule.{u1, u2} 𝕜 A (InvolutiveStar.toHasStar.{u1} 𝕜 (StarAddMonoid.toHasInvolutiveStar.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (StarRing.toStarAddMonoid.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) _inst_6))) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7)] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Star.star.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasStar.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9) a))) b) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) b)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u2} 𝕜 (CommRing.toNonUnitalCommRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))] [_inst_7 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_8 : StarModule.{u2, u1} 𝕜 A (InvolutiveStar.toStar.{u2} 𝕜 (StarAddMonoid.toInvolutiveStar.{u2} 𝕜 (AddMonoidWithOne.toAddMonoid.{u2} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (StarRing.toStarAddMonoid.{u2} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u2} 𝕜 (CommRing.toNonUnitalCommRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_6))) (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7)] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : A), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) b) (FunLike.coe.{succ u1, succ u1, succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) _x) (ContinuousMapClass.toFunLike.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) A A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u1, u2, u2, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A 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a))) b) (Star.star.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) (InvolutiveStar.toStar.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} 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A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) (AddGroup.toSubNegMonoid.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) (NormedAddGroup.toAddGroup.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) (NormedAddCommGroup.toNormedAddGroup.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) (NonUnitalNormedRing.toNormedAddCommGroup.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A 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+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.star_snd DoubleCentralizer.star_sndₓ'. -/
 @[simp]
 theorem star_snd (a : 𝓜(𝕜, A)) (b : A) : (star a).snd b = star (a.fst (star b)) :=
@@ -721,10 +601,7 @@ noncomputable instance : CoeTC A 𝓜(𝕜, A)
       central := fun x y => mul_assoc _ _ _ }
 
 /- warning: double_centralizer.coe_fst -> DoubleCentralizer.coe_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : A), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{succ u2, succ u2} A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{succ u2, succ u2} A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasCoeT.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) a))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.mul._proof_1.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_2.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_3.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (ContinuousLinearMap.mul._proof_4.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.mul._proof_5.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.mul._proof_1.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_2.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_3.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (ContinuousLinearMap.mul._proof_4.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.mul._proof_5.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) => A -> (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.mul._proof_1.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_2.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_3.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (ContinuousLinearMap.mul._proof_4.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.mul._proof_5.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.mul.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3 _inst_5 _inst_4) a)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : A), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DoubleCentralizer.coe.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) A (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (ContinuousLinearMap.mul.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3 _inst_5 _inst_4) a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.coe_fst DoubleCentralizer.coe_fstₓ'. -/
 @[simp, norm_cast]
 theorem coe_fst (a : A) : (a : 𝓜(𝕜, A)).fst = ContinuousLinearMap.mul 𝕜 A a :=
@@ -732,10 +609,7 @@ theorem coe_fst (a : A) : (a : 𝓜(𝕜, A)).fst = ContinuousLinearMap.mul 𝕜
 #align double_centralizer.coe_fst DoubleCentralizer.coe_fst
 
 /- warning: double_centralizer.coe_snd -> DoubleCentralizer.coe_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : A), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{succ u2, succ u2} A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{succ u2, succ u2} A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasCoeT.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) a))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_5.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_6.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (ContinuousLinearMap.flip._proof_7.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.flip._proof_8.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_5.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_6.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (ContinuousLinearMap.flip._proof_7.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.flip._proof_8.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) => A -> (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_5.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_6.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (ContinuousLinearMap.flip._proof_7.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.flip._proof_8.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.flip.{u1, u1, u1, u2, u2, u2} 𝕜 𝕜 𝕜 A A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_1 _inst_3 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.mul.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3 _inst_5 _inst_4)) a)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : A), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DoubleCentralizer.coe.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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(ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) A (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A 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(NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (ContinuousLinearMap.flip.{u1, u1, u1, u2, u2, u2} 𝕜 𝕜 𝕜 A A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_1 _inst_3 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.mul.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3 _inst_5 _inst_4)) a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.coe_snd DoubleCentralizer.coe_sndₓ'. -/
 @[simp, norm_cast]
 theorem coe_snd (a : A) : (a : 𝓜(𝕜, A)).snd = (ContinuousLinearMap.mul 𝕜 A).flip a :=
@@ -752,10 +626,7 @@ theorem coe_eq_algebraMap : (coe : 𝕜 → 𝓜(𝕜, 𝕜)) = algebraMap 𝕜
 -/
 
 /- warning: double_centralizer.coe_hom -> DoubleCentralizer.coeHom is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_7 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_8 : StarModule.{u1, u2} 𝕜 A (InvolutiveStar.toHasStar.{u1} 𝕜 (StarAddMonoid.toHasInvolutiveStar.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (StarRing.toStarAddMonoid.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) _inst_6))) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7)], NonUnitalStarAlgHom.{u1, u2, u2} 𝕜 A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (Module.toDistribMulAction.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocRing.toAddCommGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (DoubleCentralizer.module.{u1, u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.coeHom._proof_1.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3) (DoubleCentralizer.coeHom._proof_2.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3) _inst_5 _inst_4)) (DoubleCentralizer.hasStar.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))] [_inst_7 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_8 : StarModule.{u1, u2} 𝕜 A (InvolutiveStar.toStar.{u1} 𝕜 (StarAddMonoid.toInvolutiveStar.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (Ring.toAddGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (StarRing.toStarAddMonoid.{u1} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_6))) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7)], NonUnitalStarAlgHom.{u1, u2, u2} 𝕜 A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (Module.toDistribMulAction.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (DoubleCentralizer.instModule.{u1, u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) _inst_5 _inst_4)) (DoubleCentralizer.instStar.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.coe_hom DoubleCentralizer.coeHomₓ'. -/
 /-- The coercion of an algebra into its multiplier algebra as a non-unital star algebra
 homomorphism. -/
@@ -795,10 +666,7 @@ noncomputable instance : NormedRing 𝓜(𝕜, A) :=
     toProdMulOpposite_injective
 
 /- warning: double_centralizer.norm_def -> DoubleCentralizer.norm_def is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toHasNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a) (Norm.norm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 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_inst_1)))))))) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (coeFn.{succ u2, succ u2} (AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} 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(NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) (fun (_x : AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 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A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) => (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (AddMonoidHom.hasCoeToFun.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) (DoubleCentralizer.toProdHom.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a) (Norm.norm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) a) (Prod.toNorm.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (AddMonoidHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) _x) (AddHomClass.toFunLike.{u1, u1, u1} (AddMonoidHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddZeroClass.toAdd.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (AddZeroClass.toAdd.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) 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(NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) 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(Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 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(NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 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_inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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_inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A 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(Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 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(UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))))) (DoubleCentralizer.toProdHom.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_def DoubleCentralizer.norm_defₓ'. -/
 -- even though the definition is actually in terms of `double_centralizer.to_prod_mul_opposite`, we
 -- choose to see through that here to avoid `mul_opposite.op` appearing.
@@ -807,30 +675,21 @@ theorem norm_def (a : 𝓜(𝕜, A)) : ‖a‖ = ‖a.toProdHom‖ :=
 #align double_centralizer.norm_def DoubleCentralizer.norm_def
 
 /- warning: double_centralizer.nnnorm_def -> DoubleCentralizer.nnnorm_def is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a) (NNNorm.nnnorm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (SeminormedAddGroup.toNNNorm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.seminormedAddGroup.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (coeFn.{succ u2, succ u2} (AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) 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_inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) (fun (_x : AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) => (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (AddMonoidHom.hasCoeToFun.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) (DoubleCentralizer.toProdHom.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a) (NNNorm.nnnorm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) a) (SeminormedAddGroup.toNNNorm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) a) (Prod.seminormedAddGroup.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (AddMonoidHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A 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(PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A 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(DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (AddMonoidHomClass.toAddHomClass.{u1, u1, u1} (AddMonoidHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (AddMonoidHom.addMonoidHomClass.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))))) (DoubleCentralizer.toProdHom.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_def DoubleCentralizer.nnnorm_defₓ'. -/
 theorem nnnorm_def (a : 𝓜(𝕜, A)) : ‖a‖₊ = ‖a.toProdHom‖₊ :=
   rfl
 #align double_centralizer.nnnorm_def DoubleCentralizer.nnnorm_def
 
 /- warning: double_centralizer.norm_def' -> DoubleCentralizer.norm_def' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toHasNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a) (Norm.norm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Prod.hasNorm.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) 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_inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) (fun (_x : RingHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (NonAssocRing.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.nonAssocSemiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) => (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (RingHom.hasCoeToFun.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (NonAssocRing.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.nonAssocSemiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) (DoubleCentralizer.toProdMulOppositeHom.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a) (Norm.norm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) a) (Prod.toNorm.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (NormedRing.toNorm.{u1} (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (MulOpposite.normedRing.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toNormedRing.{u2, u1} 𝕜 A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2) _inst_1 _inst_3)))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Prod.{u1, u1} 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(NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, 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(NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A 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_inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (RingHom.instRingHomClassRingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))))) (DoubleCentralizer.toProdMulOppositeHom.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_def' DoubleCentralizer.norm_def'ₓ'. -/
 theorem norm_def' (a : 𝓜(𝕜, A)) : ‖a‖ = ‖a.toProdMulOppositeHom‖ :=
   rfl
 #align double_centralizer.norm_def' DoubleCentralizer.norm_def'
 
 /- warning: double_centralizer.nnnorm_def' -> DoubleCentralizer.nnnorm_def' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a) (NNNorm.nnnorm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (SeminormedAddGroup.toNNNorm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Prod.seminormedAddGroup.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A 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(NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (NonAssocRing.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.nonAssocSemiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) (fun (_x : RingHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (NonAssocRing.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.nonAssocSemiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) => (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (RingHom.hasCoeToFun.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 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(UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) (DoubleCentralizer.toProdMulOppositeHom.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a) (NNNorm.nnnorm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) a) (SeminormedAddGroup.toNNNorm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) a) (Prod.seminormedAddGroup.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (MulOpposite.seminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A 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(NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (RingHom.instRingHomClassRingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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_inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))))) (DoubleCentralizer.toProdMulOppositeHom.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_def' DoubleCentralizer.nnnorm_def'ₓ'. -/
 theorem nnnorm_def' (a : 𝓜(𝕜, A)) : ‖a‖₊ = ‖a.toProdMulOppositeHom‖₊ :=
   rfl
@@ -844,10 +703,7 @@ instance : NormedAlgebra 𝕜 𝓜(𝕜, A) :=
   { DoubleCentralizer.algebra, DoubleCentralizer.normedSpace with }
 
 /- warning: double_centralizer.uniform_embedding_to_prod_mul_opposite -> DoubleCentralizer.uniformEmbedding_toProdMulOpposite is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], UniformEmbedding.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (PseudoMetricSpace.toUniformSpace.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedRing.toPseudoMetricSpace.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (Prod.uniformSpace.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (ContinuousLinearMap.uniformSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (MulOpposite.uniformSpace.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.uniformSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], UniformEmbedding.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (PseudoMetricSpace.toUniformSpace.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedRing.toPseudoMetricSpace.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (instUniformSpaceProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (ContinuousLinearMap.uniformSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (instUniformSpaceMulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.uniformSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.uniform_embedding_to_prod_mul_opposite DoubleCentralizer.uniformEmbedding_toProdMulOppositeₓ'. -/
 theorem uniformEmbedding_toProdMulOpposite : UniformEmbedding (@toProdMulOpposite 𝕜 A _ _ _ _ _) :=
   uniformEmbedding_comap toProdMulOpposite_injective
@@ -867,10 +723,7 @@ instance [CompleteSpace A] : CompleteSpace 𝓜(𝕜, A) :=
 variable [StarRing A] [CstarRing A]
 
 /- warning: double_centralizer.norm_fst_eq_snd -> DoubleCentralizer.norm_fst_eq_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_fst_eq_snd DoubleCentralizer.norm_fst_eq_sndₓ'. -/
 /-- For `a : 𝓜(𝕜, A)`, the norms of `a.fst` and `a.snd` coincide, and hence these
 also coincide with `‖a‖` which is `max (‖a.fst‖) (‖a.snd‖)`. -/
@@ -921,20 +774,14 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
 #align double_centralizer.norm_fst_eq_snd DoubleCentralizer.norm_fst_eq_snd
 
 /- warning: double_centralizer.nnnorm_fst_eq_snd -> DoubleCentralizer.nnnorm_fst_eq_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (NNNorm.nnnorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (NNNorm.nnnorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_fst_eq_snd DoubleCentralizer.nnnorm_fst_eq_sndₓ'. -/
 theorem nnnorm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖₊ = ‖a.snd‖₊ :=
   Subtype.ext <| norm_fst_eq_snd a
 #align double_centralizer.nnnorm_fst_eq_snd DoubleCentralizer.nnnorm_fst_eq_snd
 
 /- warning: double_centralizer.norm_fst -> DoubleCentralizer.norm_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toHasNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_fst DoubleCentralizer.norm_fstₓ'. -/
 @[simp]
 theorem norm_fst (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a‖ := by
@@ -943,20 +790,14 @@ theorem norm_fst (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a‖ := by
 #align double_centralizer.norm_fst DoubleCentralizer.norm_fst
 
 /- warning: double_centralizer.norm_snd -> DoubleCentralizer.norm_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toHasNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_snd DoubleCentralizer.norm_sndₓ'. -/
 @[simp]
 theorem norm_snd (a : 𝓜(𝕜, A)) : ‖a.snd‖ = ‖a‖ := by rw [← norm_fst, norm_fst_eq_snd]
 #align double_centralizer.norm_snd DoubleCentralizer.norm_snd
 
 /- warning: double_centralizer.nnnorm_fst -> DoubleCentralizer.nnnorm_fst is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (NNNorm.nnnorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (NNNorm.nnnorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_fst DoubleCentralizer.nnnorm_fstₓ'. -/
 @[simp]
 theorem nnnorm_fst (a : 𝓜(𝕜, A)) : ‖a.fst‖₊ = ‖a‖₊ :=
@@ -964,10 +805,7 @@ theorem nnnorm_fst (a : 𝓜(𝕜, A)) : ‖a.fst‖₊ = ‖a‖₊ :=
 #align double_centralizer.nnnorm_fst DoubleCentralizer.nnnorm_fst
 
 /- warning: double_centralizer.nnnorm_snd -> DoubleCentralizer.nnnorm_snd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (NNNorm.nnnorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (NNNorm.nnnorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_snd DoubleCentralizer.nnnorm_sndₓ'. -/
 @[simp]
 theorem nnnorm_snd (a : 𝓜(𝕜, A)) : ‖a.snd‖₊ = ‖a‖₊ :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/ef95945cd48c932c9e034872bd25c3c220d9c946

@@ -66,6 +66,12 @@ open NNReal ContinuousLinearMap MulOpposite
 
 universe u v
 
+/- warning: double_centralizer -> DoubleCentralizer is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (A : Type.{u2}) [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Type.{u2}
+but is expected to have type
+  forall (𝕜 : Type.{u1}) (A : Type.{u2}) [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Type.{u2}
+Case conversion may be inaccurate. Consider using '#align double_centralizer DoubleCentralizerₓ'. -/
 /-- The type of *double centralizers*, also known as the *multiplier algebra* and denoted by
 `𝓜(𝕜, A)`, of a non-unital normed algebra.
 
@@ -99,6 +105,12 @@ algebra structure from `(A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ` to `𝓜(
 
 variable {𝕜 A}
 
+/- warning: double_centralizer.range_to_prod -> DoubleCentralizer.range_toProd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Set.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Set.range.{u2, succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (setOf.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) => forall (x : A) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) lr) x) y) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) x (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) lr) y))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Set.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Set.range.{u2, succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (setOf.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (fun (lr : Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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_inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) lr) y))))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.range_to_prod DoubleCentralizer.range_toProdₓ'. -/
 theorem range_toProd :
     Set.range toProd = { lr : (A →L[𝕜] A) × _ | ∀ x y, lr.2 x * y = x * lr.1 y } :=
   Set.ext fun x =>
@@ -145,15 +157,33 @@ instance : SMul S 𝓜(𝕜, A)
         show (s • a.snd) x * y = x * (s • a.fst) y by
           simp only [ContinuousLinearMap.smul_apply, mul_smul_comm, smul_mul_assoc, central] }
 
+/- warning: double_centralizer.smul_to_prod -> DoubleCentralizer.smul_toProd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u3}} [_inst_6 : Monoid.{u3} S] [_inst_7 : DistribMulAction.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u1, u3, u2} 𝕜 S A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u3, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] (s : S) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (SMul.smul.{u3, u2} S (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasSmul.{u1, u2, u3} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) s a)) (SMul.smul.{u3, u2} S (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.smul.{u3, u2, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SMulZeroClass.toHasSmul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddZeroClass.toHasZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) 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(NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (ContinuousLinearMap.distribMulAction.{u1, u1, u3, u2, u2} 𝕜 𝕜 S (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toHasSmul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddZeroClass.toHasZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (ContinuousLinearMap.distribMulAction.{u1, u1, u3, u2, u2} 𝕜 𝕜 S (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))) s (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u1}} [_inst_6 : Monoid.{u1} S] [_inst_7 : DistribMulAction.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u3, u1, u2} 𝕜 S A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u1, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] (s : S) (a : DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSMul.hSMul.{u1, u2, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSMul.{u1, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instSMul.{u3, u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) s a)) (HSMul.hSMul.{u1, u2, u2} S (Prod.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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(NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DistribSMul.toSMulZeroClass.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribMulAction.toDistribSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (ContinuousLinearMap.distribMulAction.{u3, u3, u1, u2, u2} 𝕜 𝕜 S (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (ContinuousLinearMap.addCommGroup.proof_1.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DistribSMul.toSMulZeroClass.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribMulAction.toDistribSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (ContinuousLinearMap.distribMulAction.{u3, u3, u1, u2, u2} 𝕜 𝕜 S (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (ContinuousLinearMap.addCommGroup.proof_1.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))) s (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.smul_to_prod DoubleCentralizer.smul_toProdₓ'. -/
 @[simp]
 theorem smul_toProd (s : S) (a : 𝓜(𝕜, A)) : (s • a).toProd = s • a.toProd :=
   rfl
 #align double_centralizer.smul_to_prod DoubleCentralizer.smul_toProd
 
+/- warning: double_centralizer.smul_fst -> DoubleCentralizer.smul_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u3}} [_inst_6 : Monoid.{u3} S] [_inst_7 : DistribMulAction.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u1, u3, u2} 𝕜 S A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u3, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] (s : S) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (SMul.smul.{u3, u2} S (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasSmul.{u1, u2, u3} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) s a))) (SMul.smul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SMulZeroClass.toHasSmul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddZeroClass.toHasZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (ContinuousLinearMap.distribMulAction.{u1, u1, u3, u2, u2} 𝕜 𝕜 S (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) s (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u1}} [_inst_6 : Monoid.{u1} S] [_inst_7 : DistribMulAction.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u3, u1, u2} 𝕜 S A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u1, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] (s : S) (a : DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSMul.hSMul.{u1, u2, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSMul.{u1, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instSMul.{u3, u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) s a))) (HSMul.hSMul.{u1, u2, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SMulZeroClass.toSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DistribSMul.toSMulZeroClass.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} 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(NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} 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(NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribMulAction.toDistribSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (ContinuousLinearMap.distribMulAction.{u3, u3, u1, u2, u2} 𝕜 𝕜 S (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (ContinuousLinearMap.addCommGroup.proof_1.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))) s (Prod.fst.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.smul_fst DoubleCentralizer.smul_fstₓ'. -/
 theorem smul_fst (s : S) (a : 𝓜(𝕜, A)) : (s • a).fst = s • a.fst :=
   rfl
 #align double_centralizer.smul_fst DoubleCentralizer.smul_fst
 
+/- warning: double_centralizer.smul_snd -> DoubleCentralizer.smul_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u3}} [_inst_6 : Monoid.{u3} S] [_inst_7 : DistribMulAction.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u1, u3, u2} 𝕜 S A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u3, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u3, u2, u2} S A A (SMulZeroClass.toHasSmul.{u3, u2} S A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] (s : S) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (SMul.smul.{u3, u2} S (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasSmul.{u1, u2, u3} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11) s a))) (SMul.smul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SMulZeroClass.toHasSmul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddZeroClass.toHasZero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (DistribMulAction.toDistribSMul.{u3, u2} S (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddCommMonoid.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (ContinuousLinearMap.distribMulAction.{u1, u1, u3, u2, u2} 𝕜 𝕜 S (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) s (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u3, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] {S : Type.{u1}} [_inst_6 : Monoid.{u1} S] [_inst_7 : DistribMulAction.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))] [_inst_8 : SMulCommClass.{u3, u1, u2} 𝕜 S A (SMulZeroClass.toSMul.{u3, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 A (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 A (Semiring.toMonoidWithZero.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u3, u2} 𝕜 A (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_9 : ContinuousConstSMul.{u1, u2} S A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_10 : IsScalarTower.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7)))] [_inst_11 : SMulCommClass.{u1, u2, u2} S A A (SMulZeroClass.toSMul.{u1, u2} S A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (DistribSMul.toSMulZeroClass.{u1, u2} S A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} S A _inst_6 (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) _inst_7))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] (s : S) (a : DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSMul.hSMul.{u1, u2, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSMul.{u1, u2} S (DoubleCentralizer.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instSMul.{u3, u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 S _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11)) s a))) (HSMul.hSMul.{u1, u2, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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(NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DistribMulAction.toDistribSMul.{u1, u2} S (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _inst_6 (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u3, u2} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (ContinuousLinearMap.distribMulAction.{u3, u3, u1, u2, u2} 𝕜 𝕜 S (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) _inst_6 A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) _inst_7 _inst_9 _inst_8 (ContinuousLinearMap.addCommGroup.proof_1.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))) s (Prod.snd.{u2, u2} (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u3, u3, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u3, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u3, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.smul_snd DoubleCentralizer.smul_sndₓ'. -/
 theorem smul_snd (s : S) (a : 𝓜(𝕜, A)) : (s • a).snd = s • a.snd :=
   rfl
 #align double_centralizer.smul_snd DoubleCentralizer.smul_snd
@@ -204,132 +234,306 @@ instance : Pow 𝓜(𝕜, A) ℕ
 instance : Inhabited 𝓜(𝕜, A) :=
   ⟨0⟩
 
+/- warning: double_centralizer.add_to_prod -> DoubleCentralizer.add_toProd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HAdd.hAdd.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHAdd.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasAdd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b)) (HAdd.hAdd.{u2, u2, u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A 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(NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (instHAdd.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.hasAdd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.add.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.add.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HAdd.hAdd.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHAdd.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instAdd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b)) (HAdd.hAdd.{u1, u1, u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (instHAdd.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.add.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))) (ContinuousLinearMap.add.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.add_to_prod DoubleCentralizer.add_toProdₓ'. -/
 @[simp]
 theorem add_toProd (a b : 𝓜(𝕜, A)) : (a + b).toProd = a.toProd + b.toProd :=
   rfl
 #align double_centralizer.add_to_prod DoubleCentralizer.add_toProd
 
+/- warning: double_centralizer.zero_to_prod -> DoubleCentralizer.zero_toProd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasZero.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) 0 (Zero.zero.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instZero.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (OfNat.ofNat.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.zero_to_prod DoubleCentralizer.zero_toProdₓ'. -/
 @[simp]
 theorem zero_toProd : (0 : 𝓜(𝕜, A)).toProd = 0 :=
   rfl
 #align double_centralizer.zero_to_prod DoubleCentralizer.zero_toProd
 
+/- warning: double_centralizer.neg_to_prod -> DoubleCentralizer.neg_toProd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNeg.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a)) (Neg.neg.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.hasNeg.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.neg.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.neg.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNeg.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a)) (Neg.neg.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.instNegSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.neg.{u2, u2, u1, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (ContinuousLinearMap.neg.{u2, u2, u1, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.neg_to_prod DoubleCentralizer.neg_toProdₓ'. -/
 @[simp]
 theorem neg_toProd (a : 𝓜(𝕜, A)) : (-a).toProd = -a.toProd :=
   rfl
 #align double_centralizer.neg_to_prod DoubleCentralizer.neg_toProd
 
+/- warning: double_centralizer.sub_to_prod -> DoubleCentralizer.sub_toProd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A 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_inst_2 _inst_3 _inst_4 _inst_5)) a b)) (HSub.hSub.{u2, u2, u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (instHSub.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.hasSub.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.sub.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.sub.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSub.hSub.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSub.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instSub.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b)) (HSub.hSub.{u1, u1, u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (instHSub.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.instSubSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (ContinuousLinearMap.sub.{u2, u2, u1, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.sub_to_prod DoubleCentralizer.sub_toProdₓ'. -/
 @[simp]
 theorem sub_toProd (a b : 𝓜(𝕜, A)) : (a - b).toProd = a.toProd - b.toProd :=
   rfl
 #align double_centralizer.sub_to_prod DoubleCentralizer.sub_toProd
 
+/- warning: double_centralizer.one_to_prod -> DoubleCentralizer.one_toProd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (OfNat.mk.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.one.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) 1 (OfNat.mk.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) 1 (One.one.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.hasOne.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.toOfNat1.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (OfNat.ofNat.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) 1 (One.toOfNat1.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instOneProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.one_to_prod DoubleCentralizer.one_toProdₓ'. -/
 @[simp]
 theorem one_toProd : (1 : 𝓜(𝕜, A)).toProd = 1 :=
   rfl
 #align double_centralizer.one_to_prod DoubleCentralizer.one_toProd
 
+/- warning: double_centralizer.nat_cast_to_prod -> DoubleCentralizer.nat_cast_toProd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Nat.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n)) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (HasLiftT.mk.{1, succ u2} Nat (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (CoeTCₓ.coe.{1, succ u2} Nat (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Nat.castCoe.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A 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A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoidWithOne.toNatCast.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.addMonoidWithOne.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))))) n)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Nat.cast.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) n)) (Nat.cast.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNatCast.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) n)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.nat_cast_to_prod DoubleCentralizer.nat_cast_toProdₓ'. -/
 @[simp]
 theorem nat_cast_toProd (n : ℕ) : (n : 𝓜(𝕜, A)).toProd = n :=
   rfl
 #align double_centralizer.nat_cast_to_prod DoubleCentralizer.nat_cast_toProd
 
+/- warning: double_centralizer.int_cast_to_prod -> DoubleCentralizer.int_cast_toProd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Int.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasIntCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n)) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (HasLiftT.mk.{1, succ u2} Int (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (CoeTCₓ.coe.{1, succ u2} Int (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Int.castCoe.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.addGroupWithOne.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))))) n)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instRingProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) n)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.int_cast_to_prod DoubleCentralizer.int_cast_toProdₓ'. -/
 @[simp]
 theorem int_cast_toProd (n : ℤ) : (n : 𝓜(𝕜, A)).toProd = n :=
   rfl
 #align double_centralizer.int_cast_to_prod DoubleCentralizer.int_cast_toProd
 
+/- warning: double_centralizer.pow_to_prod -> DoubleCentralizer.pow_toProd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u2, 0, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u2, 0} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.Nat.hasPow.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n)) (HPow.hPow.{u2, 0, u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) Nat (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (instHPow.{u2, 0} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) Nat (Prod.pow.{0, u2, u2} Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Monoid.Pow.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Monoid.Pow.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) n)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u1, 0, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u1, 0} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.instPow.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n)) (HPow.hPow.{u1, 0, u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) Nat (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (instHPow.{u1, 0} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) 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(DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.monoidWithZero.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) n)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.pow_to_prod DoubleCentralizer.pow_toProdₓ'. -/
 @[simp]
 theorem pow_toProd (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).toProd = a.toProd ^ n :=
   rfl
 #align double_centralizer.pow_to_prod DoubleCentralizer.pow_toProd
 
+/- warning: double_centralizer.add_fst -> DoubleCentralizer.add_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HAdd.hAdd.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHAdd.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasAdd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HAdd.hAdd.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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(NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHAdd.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.add.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A 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_inst_4 _inst_5) (DoubleCentralizer.instAdd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) 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_inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A 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u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.add.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.add_fst DoubleCentralizer.add_fstₓ'. -/
 theorem add_fst (a b : 𝓜(𝕜, A)) : (a + b).fst = a.fst + b.fst :=
   rfl
 #align double_centralizer.add_fst DoubleCentralizer.add_fst
 
+/- warning: double_centralizer.add_snd -> DoubleCentralizer.add_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A 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(Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HAdd.hAdd.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHAdd.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasAdd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HAdd.hAdd.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHAdd.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.add.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HAdd.hAdd.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHAdd.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instAdd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HAdd.hAdd.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (instHAdd.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.add.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.add_snd DoubleCentralizer.add_sndₓ'. -/
 theorem add_snd (a b : 𝓜(𝕜, A)) : (a + b).snd = a.snd + b.snd :=
   rfl
 #align double_centralizer.add_snd DoubleCentralizer.add_snd
 
+/- warning: double_centralizer.zero_fst -> DoubleCentralizer.zero_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasZero.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (OfNat.mk.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (Zero.zero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instZero.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (Zero.toOfNat0.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.zero_fst DoubleCentralizer.zero_fstₓ'. -/
 theorem zero_fst : (0 : 𝓜(𝕜, A)).fst = 0 :=
   rfl
 #align double_centralizer.zero_fst DoubleCentralizer.zero_fst
 
+/- warning: double_centralizer.zero_snd -> DoubleCentralizer.zero_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasZero.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (OfNat.mk.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (Zero.zero.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instZero.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 0 (Zero.toOfNat0.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.zero.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.zero_snd DoubleCentralizer.zero_sndₓ'. -/
 theorem zero_snd : (0 : 𝓜(𝕜, A)).snd = 0 :=
   rfl
 #align double_centralizer.zero_snd DoubleCentralizer.zero_snd
 
+/- warning: double_centralizer.neg_fst -> DoubleCentralizer.neg_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNeg.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))) (Neg.neg.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.neg.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNeg.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))) (Neg.neg.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.neg.{u2, u2, u1, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.neg_fst DoubleCentralizer.neg_fstₓ'. -/
 theorem neg_fst (a : 𝓜(𝕜, A)) : (-a).fst = -a.fst :=
   rfl
 #align double_centralizer.neg_fst DoubleCentralizer.neg_fst
 
+/- warning: double_centralizer.neg_snd -> DoubleCentralizer.neg_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNeg.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))) (Neg.neg.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.neg.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Neg.neg.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNeg.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))) (Neg.neg.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.neg.{u2, u2, u1, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.neg_snd DoubleCentralizer.neg_sndₓ'. -/
 theorem neg_snd (a : 𝓜(𝕜, A)) : (-a).snd = -a.snd :=
   rfl
 #align double_centralizer.neg_snd DoubleCentralizer.neg_snd
 
+/- warning: double_centralizer.sub_fst -> DoubleCentralizer.sub_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSub.hSub.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSub.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasSub.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HSub.hSub.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHSub.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.sub.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSub.hSub.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSub.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instSub.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HSub.hSub.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A 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+Case conversion may be inaccurate. Consider using '#align double_centralizer.sub_fst DoubleCentralizer.sub_fstₓ'. -/
 theorem sub_fst (a b : 𝓜(𝕜, A)) : (a - b).fst = a.fst - b.fst :=
   rfl
 #align double_centralizer.sub_fst DoubleCentralizer.sub_fst
 
+/- warning: double_centralizer.sub_snd -> DoubleCentralizer.sub_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSub.hSub.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSub.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasSub.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HSub.hSub.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHSub.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.sub.{u1, u1, u2, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HSub.hSub.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHSub.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instSub.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HSub.hSub.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A 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(NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.sub_snd DoubleCentralizer.sub_sndₓ'. -/
 theorem sub_snd (a b : 𝓜(𝕜, A)) : (a - b).snd = a.snd - b.snd :=
   rfl
 #align double_centralizer.sub_snd DoubleCentralizer.sub_snd
 
+/- warning: double_centralizer.one_fst -> DoubleCentralizer.one_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (OfNat.mk.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.one.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (OfNat.mk.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (One.one.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.toOfNat1.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (One.toOfNat1.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.one_fst DoubleCentralizer.one_fstₓ'. -/
 theorem one_fst : (1 : 𝓜(𝕜, A)).fst = 1 :=
   rfl
 #align double_centralizer.one_fst DoubleCentralizer.one_fst
 
+/- warning: double_centralizer.one_snd -> DoubleCentralizer.one_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (OfNat.mk.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.one.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (OfNat.mk.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (One.one.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 1 (One.toOfNat1.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instOne.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 1 (One.toOfNat1.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.one.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.one_snd DoubleCentralizer.one_sndₓ'. -/
 theorem one_snd : (1 : 𝓜(𝕜, A)).snd = 1 :=
   rfl
 #align double_centralizer.one_snd DoubleCentralizer.one_snd
 
+/- warning: double_centralizer.mul_fst -> DoubleCentralizer.mul_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) 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(Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) 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(NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHMul.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.instMul.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 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_inst_4 _inst_5) (DoubleCentralizer.instMul.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HMul.hMul.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (instHMul.{u1} (ContinuousLinearMap.{u2, u2, 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(NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.instMul.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.mul_fst DoubleCentralizer.mul_fstₓ'. -/
 @[simp]
 theorem mul_fst (a b : 𝓜(𝕜, A)) : (a * b).fst = a.fst * b.fst :=
   rfl
 #align double_centralizer.mul_fst DoubleCentralizer.mul_fst
 
+/- warning: double_centralizer.mul_snd -> DoubleCentralizer.mul_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HMul.hMul.{u2, u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHMul.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasMul.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HMul.hMul.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHMul.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.instMul.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HMul.hMul.{u1, u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHMul.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instMul.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a b))) (HMul.hMul.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (instHMul.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.instMul.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 b)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.mul_snd DoubleCentralizer.mul_sndₓ'. -/
 @[simp]
 theorem mul_snd (a b : 𝓜(𝕜, A)) : (a * b).snd = b.snd * a.snd :=
   rfl
 #align double_centralizer.mul_snd DoubleCentralizer.mul_snd
 
+/- warning: double_centralizer.nat_cast_fst -> DoubleCentralizer.nat_cast_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Nat.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n))) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (HasLiftT.mk.{1, succ u2} Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (CoeTCₓ.coe.{1, succ u2} Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Nat.castCoe.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toNatCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))))) n)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Nat.cast.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) n))) (Nat.cast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNatCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) n)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.nat_cast_fst DoubleCentralizer.nat_cast_fstₓ'. -/
 theorem nat_cast_fst (n : ℕ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
 #align double_centralizer.nat_cast_fst DoubleCentralizer.nat_cast_fst
 
+/- warning: double_centralizer.nat_cast_snd -> DoubleCentralizer.nat_cast_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Nat.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n))) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (HasLiftT.mk.{1, succ u2} Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (CoeTCₓ.coe.{1, succ u2} Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Nat.castCoe.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toNatCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))))) n)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Nat.cast.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNatCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) n))) (Nat.cast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNatCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) n)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.nat_cast_snd DoubleCentralizer.nat_cast_sndₓ'. -/
 theorem nat_cast_snd (n : ℕ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
 #align double_centralizer.nat_cast_snd DoubleCentralizer.nat_cast_snd
 
+/- warning: double_centralizer.int_cast_fst -> DoubleCentralizer.int_cast_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Int.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasIntCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n))) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (HasLiftT.mk.{1, succ u2} Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (CoeTCₓ.coe.{1, succ u2} Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Int.castCoe.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toHasIntCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))) n)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Int.cast.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instIntCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) n))) (Int.cast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toIntCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) n)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.int_cast_fst DoubleCentralizer.int_cast_fstₓ'. -/
 theorem int_cast_fst (n : ℤ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
 #align double_centralizer.int_cast_fst DoubleCentralizer.int_cast_fst
 
+/- warning: double_centralizer.int_cast_snd -> DoubleCentralizer.int_cast_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{1, succ u2} Int (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Int.castCoe.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasIntCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) n))) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (HasLiftT.mk.{1, succ u2} Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (CoeTCₓ.coe.{1, succ u2} Int (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Int.castCoe.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toHasIntCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))) n)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Int), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Int.cast.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instIntCast.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) n))) (Int.cast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toIntCast.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) n)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.int_cast_snd DoubleCentralizer.int_cast_sndₓ'. -/
 theorem int_cast_snd (n : ℤ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
 #align double_centralizer.int_cast_snd DoubleCentralizer.int_cast_snd
 
+/- warning: double_centralizer.pow_fst -> DoubleCentralizer.pow_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u2, 0, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u2, 0} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.Nat.hasPow.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n))) (HPow.hPow.{u2, 0, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHPow.{u2, 0} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) Nat (Monoid.Pow.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) n)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u1, 0, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u1, 0} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.instPow.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n))) (HPow.hPow.{u1, 0, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) Nat (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (instHPow.{u1, 0} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) Nat (Monoid.Pow.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MonoidWithZero.toMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.monoidWithZero.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) n)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.pow_fst DoubleCentralizer.pow_fstₓ'. -/
 theorem pow_fst (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).fst = a.fst ^ n :=
   rfl
 #align double_centralizer.pow_fst DoubleCentralizer.pow_fst
 
+/- warning: double_centralizer.pow_snd -> DoubleCentralizer.pow_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u2, 0, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u2, 0} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.Nat.hasPow.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n))) (HPow.hPow.{u2, 0, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) Nat (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (instHPow.{u2, 0} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) Nat (Monoid.Pow.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) n)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (n : Nat) (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (HPow.hPow.{u1, 0, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (instHPow.{u1, 0} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) Nat (DoubleCentralizer.instPow.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a n))) (HPow.hPow.{u1, 0, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) Nat (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (instHPow.{u1, 0} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) Nat (Monoid.Pow.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MonoidWithZero.toMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.monoidWithZero.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) n)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.pow_snd DoubleCentralizer.pow_sndₓ'. -/
 theorem pow_snd (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).snd = a.snd ^ n :=
   rfl
 #align double_centralizer.pow_snd DoubleCentralizer.pow_snd
 
+/- warning: double_centralizer.to_prod_mul_opposite -> DoubleCentralizer.toProdMulOpposite is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_mul_opposite DoubleCentralizer.toProdMulOppositeₓ'. -/
 /-- The natural injection from `double_centralizer.to_prod` except the second coordinate inherits
 `mul_opposite.op`. The ring structure on `𝓜(𝕜, A)` is the pullback under this map. -/
 def toProdMulOpposite : 𝓜(𝕜, A) → (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ := fun a =>
   (a.fst, MulOpposite.op a.snd)
 #align double_centralizer.to_prod_mul_opposite DoubleCentralizer.toProdMulOpposite
 
+/- warning: double_centralizer.to_prod_mul_opposite_injective -> DoubleCentralizer.toProdMulOpposite_injective is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Function.Injective.{succ u2, succ u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Function.Injective.{succ u2, succ u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_mul_opposite_injective DoubleCentralizer.toProdMulOpposite_injectiveₓ'. -/
 theorem toProdMulOpposite_injective :
     Function.Injective (toProdMulOpposite : 𝓜(𝕜, A) → (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ) := fun a b h =>
   let h' := Prod.ext_iff.mp h
   ext _ _ <| Prod.ext h'.1 <| MulOpposite.op_injective h'.2
 #align double_centralizer.to_prod_mul_opposite_injective DoubleCentralizer.toProdMulOpposite_injective
 
+/- warning: double_centralizer.range_to_prod_mul_opposite -> DoubleCentralizer.range_toProdMulOpposite is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Set.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Set.range.{u2, succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (setOf.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (fun (lr : Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) => forall (x : A) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A 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𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.unop.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) lr)) x) y) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) x (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) lr) y))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], Eq.{succ u2} (Set.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Set.range.{u2, succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (setOf.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (fun (lr : Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) => forall (x : A) (y : A), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) A ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) x) (instHMul.{u2} ((fun 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, 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(NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (MulOpposite.unop.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) lr) y))))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.range_to_prod_mul_opposite DoubleCentralizer.range_toProdMulOppositeₓ'. -/
 theorem range_toProdMulOpposite :
     Set.range toProdMulOpposite = { lr : (A →L[𝕜] A) × _ | ∀ x y, unop lr.2 x * y = x * lr.1 y } :=
   Set.ext fun x =>
@@ -346,6 +550,12 @@ instance : Ring 𝓜(𝕜, A) :=
     (fun x n => Prod.ext rfl <| MulOpposite.op_smul _ _)
     (fun x n => Prod.ext rfl <| MulOpposite.op_pow _ _) (fun _ => rfl) fun _ => rfl
 
+/- warning: double_centralizer.to_prod_hom -> DoubleCentralizer.toProdHom is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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(ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) 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(NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_hom DoubleCentralizer.toProdHomₓ'. -/
 /-- The canonical map `double_centralizer.to_prod` as an additive group homomorphism. -/
 @[simps]
 def toProdHom : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A)
@@ -355,6 +565,12 @@ def toProdHom : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A)
   map_add' x y := rfl
 #align double_centralizer.to_prod_hom DoubleCentralizer.toProdHom
 
+/- warning: double_centralizer.to_prod_mul_opposite_hom -> DoubleCentralizer.toProdMulOppositeHom is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], RingHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (NonAssocRing.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.nonAssocSemiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], RingHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.to_prod_mul_opposite_hom DoubleCentralizer.toProdMulOppositeHomₓ'. -/
 /-- The canonical map `double_centralizer.to_prod_mul_opposite` as a ring homomorphism. -/
 @[simps]
 def toProdMulOppositeHom : 𝓜(𝕜, A) →+* (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ
@@ -392,15 +608,33 @@ instance : Algebra 𝕜 𝓜(𝕜, A)
     ext _ _ <|
       Prod.ext (Algebra.smul_def _ _) ((Algebra.smul_def _ _).trans <| Algebra.commutes _ _)
 
+/- warning: double_centralizer.algebra_map_to_prod -> DoubleCentralizer.algebraMap_toProd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (fun (_x : RingHom.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.semiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) => 𝕜 -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (RingHom.hasCoeToFun.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.semiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (algebraMap.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (Prod.semiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Prod.algebra.{u1, u2, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))) k)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 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𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonUnitalNonAssocSemiring.toMul.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toMul.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (RingHom.instRingHomClassRingHom.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))))))) (algebraMap.{u1, u2} 𝕜 (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (Prod.instSemiringProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Prod.algebra.{u1, u2, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))) k)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.algebra_map_to_prod DoubleCentralizer.algebraMap_toProdₓ'. -/
 @[simp]
 theorem algebraMap_toProd (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).toProd = algebraMap 𝕜 _ k :=
   rfl
 #align double_centralizer.algebra_map_to_prod DoubleCentralizer.algebraMap_toProd
 
+/- warning: double_centralizer.algebra_map_fst -> DoubleCentralizer.algebraMap_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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_inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) => 𝕜 -> (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.hasCoeToFun.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (algebraMap.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) k)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toMul.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (RingHom.instRingHomClassRingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))) (algebraMap.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) k)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.algebra_map_fst DoubleCentralizer.algebraMap_fstₓ'. -/
 theorem algebraMap_fst (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).fst = algebraMap 𝕜 _ k :=
   rfl
 #align double_centralizer.algebra_map_fst DoubleCentralizer.algebraMap_fst
 
+/- warning: double_centralizer.algebra_map_snd -> DoubleCentralizer.algebraMap_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A 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(Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) => 𝕜 -> (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.hasCoeToFun.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (algebraMap.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (LipschitzAdd.continuousAdd.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (CommRing.toRing.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) k)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (k : 𝕜), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonUnitalNonAssocSemiring.toMul.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NonUnitalNonAssocSemiring.toMul.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (RingHom.instRingHomClassRingHom.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))))) (algebraMap.{u1, u2} 𝕜 (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.semiring.{u1, u2} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.algebra.{u1, u2} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommSemiring.toCommMonoidWithZero.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (CommSemiring.toSemiring.{u1} 𝕜 (CommRing.toCommSemiring.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) k)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.algebra_map_snd DoubleCentralizer.algebraMap_sndₓ'. -/
 theorem algebraMap_snd (k : 𝕜) : (algebraMap 𝕜 𝓜(𝕜, A) k).snd = algebraMap 𝕜 _ k :=
   rfl
 #align double_centralizer.algebra_map_snd DoubleCentralizer.algebraMap_snd
@@ -427,11 +661,23 @@ instance : Star 𝓜(𝕜, A)
       central := fun x y => by
         simpa only [star_mul, star_star] using (congr_arg star (a.central (star y) (star x))).symm }
 
+/- warning: double_centralizer.star_fst -> DoubleCentralizer.star_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_7 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_8 : StarModule.{u1, u2} 𝕜 A (InvolutiveStar.toHasStar.{u1} 𝕜 (StarAddMonoid.toHasInvolutiveStar.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (StarRing.toStarAddMonoid.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) _inst_6))) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7)] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Star.star.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasStar.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9) a))) b) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) b)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u2} 𝕜 (CommRing.toNonUnitalCommRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))] [_inst_7 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_8 : StarModule.{u2, u1} 𝕜 A (InvolutiveStar.toStar.{u2} 𝕜 (StarAddMonoid.toInvolutiveStar.{u2} 𝕜 (AddMonoidWithOne.toAddMonoid.{u2} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (StarRing.toStarAddMonoid.{u2} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u2} 𝕜 (CommRing.toNonUnitalCommRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_6))) (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7)] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : A), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) b) (FunLike.coe.{succ u1, succ u1, succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) _x) (ContinuousMapClass.toFunLike.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) A A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u1, u2, u2, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.star_fst DoubleCentralizer.star_fstₓ'. -/
 @[simp]
 theorem star_fst (a : 𝓜(𝕜, A)) (b : A) : (star a).fst b = star (a.snd (star b)) :=
   rfl
 #align double_centralizer.star_fst DoubleCentralizer.star_fst
 
+/- warning: double_centralizer.star_snd -> DoubleCentralizer.star_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_7 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_8 : StarModule.{u1, u2} 𝕜 A (InvolutiveStar.toHasStar.{u1} 𝕜 (StarAddMonoid.toHasInvolutiveStar.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (StarRing.toStarAddMonoid.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) _inst_6))) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7)] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Star.star.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasStar.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9) a))) b) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) => A -> A) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) b)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u2} 𝕜 (CommRing.toNonUnitalCommRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))] [_inst_7 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_8 : StarModule.{u2, u1} 𝕜 A (InvolutiveStar.toStar.{u2} 𝕜 (StarAddMonoid.toInvolutiveStar.{u2} 𝕜 (AddMonoidWithOne.toAddMonoid.{u2} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (StarRing.toStarAddMonoid.{u2} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u2} 𝕜 (CommRing.toNonUnitalCommRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_6))) (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7)] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (b : A), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) b) (FunLike.coe.{succ u1, succ u1, succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) _x) (ContinuousMapClass.toFunLike.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) A A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u1, u2, u2, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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a))) b) (Star.star.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) (InvolutiveStar.toStar.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} 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A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) (AddGroup.toSubNegMonoid.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) (NormedAddGroup.toAddGroup.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) (NormedAddCommGroup.toNormedAddGroup.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) (NonUnitalNormedRing.toNormedAddCommGroup.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A 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(NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)) _inst_2)) _inst_7))) (FunLike.coe.{succ u1, succ u1, succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => A) _x) (ContinuousMapClass.toFunLike.{u1, u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (Star.star.{u1} A (InvolutiveStar.toStar.{u1} A (StarAddMonoid.toInvolutiveStar.{u1} A (SubNegMonoid.toAddMonoid.{u1} A (AddGroup.toSubNegMonoid.{u1} A (NormedAddGroup.toAddGroup.{u1} A (NormedAddCommGroup.toNormedAddGroup.{u1} A (NonUnitalNormedRing.toNormedAddCommGroup.{u1} A _inst_2))))) (StarRing.toStarAddMonoid.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) _inst_7))) b)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.star_snd DoubleCentralizer.star_sndₓ'. -/
 @[simp]
 theorem star_snd (a : 𝓜(𝕜, A)) (b : A) : (star a).snd b = star (a.fst (star b)) :=
   rfl
@@ -474,23 +720,43 @@ noncomputable instance : CoeTC A 𝓜(𝕜, A)
       snd := (ContinuousLinearMap.mul 𝕜 A).flip a
       central := fun x y => mul_assoc _ _ _ }
 
+/- warning: double_centralizer.coe_fst -> DoubleCentralizer.coe_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : A), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{succ u2, succ u2} A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{succ u2, succ u2} A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasCoeT.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) a))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.mul._proof_1.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_2.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_3.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (ContinuousLinearMap.mul._proof_4.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.mul._proof_5.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.mul._proof_1.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_2.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_3.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (ContinuousLinearMap.mul._proof_4.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.mul._proof_5.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) => A -> (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.mul._proof_1.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_2.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.mul._proof_3.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (ContinuousLinearMap.mul._proof_4.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.mul._proof_5.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.mul.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3 _inst_5 _inst_4) a)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : A), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DoubleCentralizer.coe.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : A) => ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) _x) (ContinuousMapClass.toFunLike.{u2, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) A (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalSemiring.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (TopologicalRing.toTopologicalSemiring.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalSeminormedRing.toNonUnitalRing.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (semi_normed_top_ring.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (ContinuousLinearMap.mul.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3 _inst_5 _inst_4) a)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.coe_fst DoubleCentralizer.coe_fstₓ'. -/
 @[simp, norm_cast]
 theorem coe_fst (a : A) : (a : 𝓜(𝕜, A)).fst = ContinuousLinearMap.mul 𝕜 A a :=
   rfl
 #align double_centralizer.coe_fst DoubleCentralizer.coe_fst
 
+/- warning: double_centralizer.coe_snd -> DoubleCentralizer.coe_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : A), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{succ u2, succ u2} A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{succ u2, succ u2} A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.hasCoeT.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) a))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_5.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_6.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (ContinuousLinearMap.flip._proof_7.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.flip._proof_8.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_5.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_6.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (ContinuousLinearMap.flip._proof_7.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.flip._proof_8.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) => A -> (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (ContinuousLinearMap.toFun.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_5.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.flip._proof_6.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (ContinuousLinearMap.flip._proof_7.{u1, u2} 𝕜 A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_3) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.flip._proof_8.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.flip.{u1, u1, u1, u2, u2, u2} 𝕜 𝕜 𝕜 A A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_1 _inst_3 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.mul.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3 _inst_5 _inst_4)) a)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : A), Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DoubleCentralizer.coe.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (FunLike.coe.{succ u2, succ u2, succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) A (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, u1, u1, u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A 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(NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (ContinuousLinearMap.module.{u1, u1, u1, u2, u2} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (TopologicalAddGroup.toContinuousAdd.{u2} A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))) (SeminormedAddGroup.toAddGroup.{u2} A (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))))) (ContinuousLinearMap.flip.{u1, u1, u1, u2, u2, u2} 𝕜 𝕜 𝕜 A A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_1 _inst_3 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.mul.{u1, u2} 𝕜 _inst_1 A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2) _inst_3 _inst_5 _inst_4)) a)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.coe_snd DoubleCentralizer.coe_sndₓ'. -/
 @[simp, norm_cast]
 theorem coe_snd (a : A) : (a : 𝓜(𝕜, A)).snd = (ContinuousLinearMap.mul 𝕜 A).flip a :=
   rfl
 #align double_centralizer.coe_snd DoubleCentralizer.coe_snd
 
+#print DoubleCentralizer.coe_eq_algebraMap /-
 theorem coe_eq_algebraMap : (coe : 𝕜 → 𝓜(𝕜, 𝕜)) = algebraMap 𝕜 𝓜(𝕜, 𝕜) := by
   ext <;>
       simp only [coe_fst, mul_apply', mul_one, algebra_map_to_prod, Prod.algebraMap_apply, coe_snd,
         flip_apply, one_mul] <;>
     simp only [Algebra.algebraMap_eq_smul_one, smul_apply, one_apply, smul_eq_mul, mul_one]
 #align double_centralizer.coe_eq_algebra_map DoubleCentralizer.coe_eq_algebraMap
+-/
 
+/- warning: double_centralizer.coe_hom -> DoubleCentralizer.coeHom is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_7 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_8 : StarModule.{u1, u2} 𝕜 A (InvolutiveStar.toHasStar.{u1} 𝕜 (StarAddMonoid.toHasInvolutiveStar.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (StarRing.toStarAddMonoid.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) _inst_6))) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7)], NonUnitalStarAlgHom.{u1, u2, u2} 𝕜 A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (Module.toDistribMulAction.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocRing.toAddCommGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (DoubleCentralizer.module.{u1, u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.coeHom._proof_1.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3) (DoubleCentralizer.coeHom._proof_2.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3) _inst_5 _inst_4)) (DoubleCentralizer.hasStar.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))] [_inst_7 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_8 : StarModule.{u1, u2} 𝕜 A (InvolutiveStar.toStar.{u1} 𝕜 (StarAddMonoid.toInvolutiveStar.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (Ring.toAddGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (StarRing.toStarAddMonoid.{u1} 𝕜 (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalCommSemiring.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_6))) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_9 : NormedStarGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7)], NonUnitalStarAlgHom.{u1, u2, u2} 𝕜 A (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))) (Module.toDistribMulAction.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (NormedAddGroup.toAddGroup.{u2} A (NormedAddCommGroup.toNormedAddGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))))) (StarRing.toStarAddMonoid.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)) _inst_7))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (DoubleCentralizer.instModule.{u1, u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} 𝕜 A (CommRing.toCommMonoid.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 A (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 A (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) _inst_5 _inst_4)) (DoubleCentralizer.instStar.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.coe_hom DoubleCentralizer.coeHomₓ'. -/
 /-- The coercion of an algebra into its multiplier algebra as a non-unital star algebra
 homomorphism. -/
 @[simps]
@@ -528,20 +794,44 @@ noncomputable instance : NormedRing 𝓜(𝕜, A) :=
   NormedRing.induced _ _ (toProdMulOppositeHom : 𝓜(𝕜, A) →+* (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ)
     toProdMulOpposite_injective
 
+/- warning: double_centralizer.norm_def -> DoubleCentralizer.norm_def is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toHasNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a) (Norm.norm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A 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_inst_1)))))))) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (coeFn.{succ u2, succ u2} (AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) (fun (_x : AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) => (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (AddMonoidHom.hasCoeToFun.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) (DoubleCentralizer.toProdHom.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a) (Norm.norm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A 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u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) _x) (AddHomClass.toFunLike.{u1, u1, u1} (AddMonoidHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddZeroClass.toAdd.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (AddZeroClass.toAdd.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) 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(NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) 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(Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A 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(ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A 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(ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} 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(NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A 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(NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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_inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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(Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))))) (DoubleCentralizer.toProdHom.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_def DoubleCentralizer.norm_defₓ'. -/
 -- even though the definition is actually in terms of `double_centralizer.to_prod_mul_opposite`, we
 -- choose to see through that here to avoid `mul_opposite.op` appearing.
 theorem norm_def (a : 𝓜(𝕜, A)) : ‖a‖ = ‖a.toProdHom‖ :=
   rfl
 #align double_centralizer.norm_def DoubleCentralizer.norm_def
 
+/- warning: double_centralizer.nnnorm_def -> DoubleCentralizer.nnnorm_def is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a) (NNNorm.nnnorm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (SeminormedAddGroup.toNNNorm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (Prod.seminormedAddGroup.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) 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_inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (coeFn.{succ u2, succ u2} (AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) 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_inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) (fun (_x : AddMonoidHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) => (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (AddMonoidHom.hasCoeToFun.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddCommGroupWithOne.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (Prod.addZeroClass.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))) (AddMonoid.toAddZeroClass.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (AddCommGroupWithOne.toAddGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toAddCommGroupWithOne.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdHom._proof_1.{u2} A _inst_2))))))))) (DoubleCentralizer.toProdHom.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a) (NNNorm.nnnorm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) a) (SeminormedAddGroup.toNNNorm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) a) (Prod.seminormedAddGroup.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (AddMonoidHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A 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(NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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_inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) _x) (AddHomClass.toFunLike.{u1, u1, u1} (AddMonoidHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddZeroClass.toAdd.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) (AddZeroClass.toAdd.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 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(NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (AddMonoidHomClass.toAddHomClass.{u1, u1, u1} (AddMonoidHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A 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(UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (AddMonoidHom.addMonoidHomClass.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (AddMonoid.toAddZeroClass.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddMonoidWithOne.toAddMonoid.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AddGroupWithOne.toAddMonoidWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toAddGroupWithOne.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (Prod.instAddZeroClassSum.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (AddMonoid.toAddZeroClass.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddMonoidWithOne.toAddMonoid.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Ring.toAddGroupWithOne.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u2, u1} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))))) (DoubleCentralizer.toProdHom.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_def DoubleCentralizer.nnnorm_defₓ'. -/
 theorem nnnorm_def (a : 𝓜(𝕜, A)) : ‖a‖₊ = ‖a.toProdHom‖₊ :=
   rfl
 #align double_centralizer.nnnorm_def DoubleCentralizer.nnnorm_def
 
+/- warning: double_centralizer.norm_def' -> DoubleCentralizer.norm_def' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toHasNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a) (Norm.norm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Prod.hasNorm.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) 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(NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) 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_inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) (fun (_x : RingHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (NonAssocRing.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.nonAssocSemiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) => (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (RingHom.hasCoeToFun.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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_inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (NonAssocRing.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.nonAssocSemiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A 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(NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) (DoubleCentralizer.toProdMulOppositeHom.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a) (Norm.norm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A 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(DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))) (RingHom.instRingHomClassRingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 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_inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))))) (DoubleCentralizer.toProdMulOppositeHom.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_def' DoubleCentralizer.norm_def'ₓ'. -/
 theorem norm_def' (a : 𝓜(𝕜, A)) : ‖a‖ = ‖a.toProdMulOppositeHom‖ :=
   rfl
 #align double_centralizer.norm_def' DoubleCentralizer.norm_def'
 
+/- warning: double_centralizer.nnnorm_def' -> DoubleCentralizer.nnnorm_def' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a) (NNNorm.nnnorm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (SeminormedAddGroup.toNNNorm.{u2} (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (Prod.seminormedAddGroup.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (MulOpposite.seminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A 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(MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) (fun (_x : RingHom.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (NonAssocRing.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.nonAssocSemiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) => (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (RingHom.hasCoeToFun.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (NonAssocRing.toNonAssocSemiring.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toNonAssocRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.ring.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.nonAssocSemiring.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2)))) (MulOpposite.nonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (NonAssocRing.toNonAssocSemiring.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (Ring.toNonAssocRing.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.ring.{u1, u2} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (DoubleCentralizer.toProdMulOppositeHom._proof_1.{u2} A _inst_2))))))) (DoubleCentralizer.toProdMulOppositeHom.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a) (NNNorm.nnnorm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) a) (SeminormedAddGroup.toNNNorm.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) a) (Prod.seminormedAddGroup.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (MulOpposite.seminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))))))))) (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))) (Semiring.toNonAssocSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Ring.toSemiring.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instRing.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Prod.instNonAssocSemiringProd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (MulOpposite.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))) (MulOpposite.nonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (Semiring.toNonAssocSemiring.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.semiring.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (TopologicalSemiring.toContinuousAdd.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))) (TopologicalRing.toTopologicalSemiring.{u1} A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)) (semi_normed_top_ring.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))))))))))) (DoubleCentralizer.toProdMulOppositeHom.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_def' DoubleCentralizer.nnnorm_def'ₓ'. -/
 theorem nnnorm_def' (a : 𝓜(𝕜, A)) : ‖a‖₊ = ‖a.toProdMulOppositeHom‖₊ :=
   rfl
 #align double_centralizer.nnnorm_def' DoubleCentralizer.nnnorm_def'
@@ -553,6 +843,12 @@ instance : NormedSpace 𝕜 𝓜(𝕜, A) :=
 instance : NormedAlgebra 𝕜 𝓜(𝕜, A) :=
   { DoubleCentralizer.algebra, DoubleCentralizer.normedSpace with }
 
+/- warning: double_centralizer.uniform_embedding_to_prod_mul_opposite -> DoubleCentralizer.uniformEmbedding_toProdMulOpposite is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], UniformEmbedding.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (PseudoMetricSpace.toUniformSpace.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedRing.toPseudoMetricSpace.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (Prod.uniformSpace.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (ContinuousLinearMap.uniformSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (MulOpposite.uniformSpace.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.uniformSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 A (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))], UniformEmbedding.{u2, u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Prod.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))) (PseudoMetricSpace.toUniformSpace.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedRing.toPseudoMetricSpace.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (instUniformSpaceProd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (MulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))) (ContinuousLinearMap.uniformSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (instUniformSpaceMulOpposite.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.uniformSpace.{u1, u1, u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))) (SeminormedAddCommGroup.to_uniformAddGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))))) (DoubleCentralizer.toProdMulOpposite.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.uniform_embedding_to_prod_mul_opposite DoubleCentralizer.uniformEmbedding_toProdMulOppositeₓ'. -/
 theorem uniformEmbedding_toProdMulOpposite : UniformEmbedding (@toProdMulOpposite 𝕜 A _ _ _ _ _) :=
   uniformEmbedding_comap toProdMulOpposite_injective
 #align double_centralizer.uniform_embedding_to_prod_mul_opposite DoubleCentralizer.uniformEmbedding_toProdMulOpposite
@@ -570,6 +866,12 @@ instance [CompleteSpace A] : CompleteSpace 𝓜(𝕜, A) :=
 
 variable [StarRing A] [CstarRing A]
 
+/- warning: double_centralizer.norm_fst_eq_snd -> DoubleCentralizer.norm_fst_eq_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_fst_eq_snd DoubleCentralizer.norm_fst_eq_sndₓ'. -/
 /-- For `a : 𝓜(𝕜, A)`, the norms of `a.fst` and `a.snd` coincide, and hence these
 also coincide with `‖a‖` which is `max (‖a.fst‖) (‖a.snd‖)`. -/
 theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
@@ -618,25 +920,55 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
   exact le_antisymm (h0 _ _ h1) (h0 _ _ h2)
 #align double_centralizer.norm_fst_eq_snd DoubleCentralizer.norm_fst_eq_snd
 
+/- warning: double_centralizer.nnnorm_fst_eq_snd -> DoubleCentralizer.nnnorm_fst_eq_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (NNNorm.nnnorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)))
+Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_fst_eq_snd DoubleCentralizer.nnnorm_fst_eq_sndₓ'. -/
 theorem nnnorm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖₊ = ‖a.snd‖₊ :=
   Subtype.ext <| norm_fst_eq_snd a
 #align double_centralizer.nnnorm_fst_eq_snd DoubleCentralizer.nnnorm_fst_eq_snd
 
+/- warning: double_centralizer.norm_fst -> DoubleCentralizer.norm_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toHasNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_fst DoubleCentralizer.norm_fstₓ'. -/
 @[simp]
 theorem norm_fst (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a‖ := by
   simp only [norm_def, to_prod_hom_apply, Prod.norm_def, norm_fst_eq_snd, max_eq_right,
     eq_self_iff_true]
 #align double_centralizer.norm_fst DoubleCentralizer.norm_fst
 
+/- warning: double_centralizer.norm_snd -> DoubleCentralizer.norm_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toHasNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.hasOpNorm.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (Norm.norm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) a)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.norm_snd DoubleCentralizer.norm_sndₓ'. -/
 @[simp]
 theorem norm_snd (a : 𝓜(𝕜, A)) : ‖a.snd‖ = ‖a‖ := by rw [← norm_fst, norm_fst_eq_snd]
 #align double_centralizer.norm_snd DoubleCentralizer.norm_snd
 
+/- warning: double_centralizer.nnnorm_fst -> DoubleCentralizer.nnnorm_fst is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.fst.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (NNNorm.nnnorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.fst.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (NNNorm.nnnorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_fst DoubleCentralizer.nnnorm_fstₓ'. -/
 @[simp]
 theorem nnnorm_fst (a : 𝓜(𝕜, A)) : ‖a.fst‖₊ = ‖a‖₊ :=
   Subtype.ext (norm_fst a)
 #align double_centralizer.nnnorm_fst DoubleCentralizer.nnnorm_fst
 
+/- warning: double_centralizer.nnnorm_snd -> DoubleCentralizer.nnnorm_snd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {A : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NonUnitalNormedRing.{u2} A] [_inst_3 : NormedSpace.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))))))] [_inst_5 : IsScalarTower.{u1, u2, u2} 𝕜 A A (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonUnitalRing.toNonUnitalNonAssocRing.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 A (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 A (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 A (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} A (SeminormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u2} A (NonUnitalRing.toNonUnitalSemiring.{u2} A (NonUnitalNormedRing.toNonUnitalRing.{u2} A _inst_2))] [_inst_7 : CstarRing.{u2} A _inst_2 _inst_6] (a : DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u2} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Prod.snd.{u2, u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) A (UniformSpace.toTopologicalSpace.{u2} A (PseudoMetricSpace.toUniformSpace.{u2} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} A (NormedAddCommGroup.toAddCommGroup.{u2} A (NonUnitalNormedRing.toNormedAddCommGroup.{u2} A _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 A (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (NNNorm.nnnorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u2} (DoubleCentralizer.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.normedRing.{u1, u2} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {A : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] [_inst_2 : NonUnitalNormedRing.{u1} A] [_inst_3 : NormedSpace.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2))] [_inst_4 : SMulCommClass.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))))))] [_inst_5 : IsScalarTower.{u2, u1, u1} 𝕜 A A (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3))))) (SMulZeroClass.toSMul.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u1, u1} A A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulZeroClass.toSMulWithZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 A (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 A (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 A (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (SemigroupWithZero.toZero.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 A (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)))))] [_inst_6 : StarRing.{u1} A (NonUnitalRing.toNonUnitalSemiring.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2))] [_inst_7 : CstarRing.{u1} A _inst_2 _inst_6] (a : DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{1} NNReal (NNNorm.nnnorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddGroup.toNNNorm.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u1, u1} 𝕜 𝕜 A A (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_1 _inst_1 _inst_3 _inst_3 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Prod.snd.{u1, u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) A (UniformSpace.toTopologicalSpace.{u1} A (PseudoMetricSpace.toUniformSpace.{u1} A (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonUnitalRing.toNonUnitalNonAssocRing.{u1} A (NonUnitalNormedRing.toNonUnitalRing.{u1} A _inst_2)))) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 A (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} A (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} A _inst_2)) _inst_3)) (DoubleCentralizer.toProd.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a))) (NNNorm.nnnorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddGroup.toNNNorm.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NormedRing.toNonUnitalNormedRing.{u1} (DoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (DoubleCentralizer.instNormedRingDoubleCentralizer.{u2, u1} 𝕜 A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) a)
+Case conversion may be inaccurate. Consider using '#align double_centralizer.nnnorm_snd DoubleCentralizer.nnnorm_sndₓ'. -/
 @[simp]
 theorem nnnorm_snd (a : 𝓜(𝕜, A)) : ‖a.snd‖₊ = ‖a‖₊ :=
   Subtype.ext (norm_snd a)

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux, Jon Bannon
 
 ! This file was ported from Lean 3 source module analysis.normed_space.star.multiplier
-! leanprover-community/mathlib commit 0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8
+! leanprover-community/mathlib commit ba5ff5ad5d120fb0ef094ad2994967e9bfaf5112
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -547,7 +547,8 @@ theorem nnnorm_def' (a : 𝓜(𝕜, A)) : ‖a‖₊ = ‖a.toProdMulOppositeHom
 #align double_centralizer.nnnorm_def' DoubleCentralizer.nnnorm_def'
 
 instance : NormedSpace 𝕜 𝓜(𝕜, A) :=
-  { DoubleCentralizer.module with norm_smul_le := fun k a => norm_smul_le k a.toProdMulOpposite }
+  { DoubleCentralizer.module with
+    norm_smul_le := fun k a => (norm_smul_le k a.toProdMulOpposite : _) }
 
 instance : NormedAlgebra 𝕜 𝓜(𝕜, A) :=
   { DoubleCentralizer.algebra, DoubleCentralizer.normedSpace with }

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

@@ -4,14 +4,14 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux, Jon Bannon
 
 ! This file was ported from Lean 3 source module analysis.normed_space.star.multiplier
-! leanprover-community/mathlib commit d3af0609f6db8691dffdc3e1fb7feb7da72698f2
+! leanprover-community/mathlib commit 0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Star.StarAlgHom
 import Mathbin.Analysis.NormedSpace.Star.Basic
 import Mathbin.Analysis.NormedSpace.OperatorNorm
-import Mathbin.Analysis.SpecialFunctions.Pow
+import Mathbin.Analysis.SpecialFunctions.Pow.Nnreal
 import Mathbin.Analysis.NormedSpace.Star.Mul
 
 /-!

mathlib commit https://github.com/leanprover-community/mathlib/commit/e3fb84046afd187b710170887195d50bada934ee

@@ -561,7 +561,7 @@ instance [CompleteSpace A] : CompleteSpace 𝓜(𝕜, A) :=
   rw [completeSpace_iff_isComplete_range uniform_embedding_to_prod_mul_opposite.to_uniform_inducing]
   apply IsClosed.isComplete
   simp only [range_to_prod_mul_opposite, Set.setOf_forall]
-  refine' isClosed_interᵢ fun x => isClosed_interᵢ fun y => isClosed_eq _ _
+  refine' isClosed_iInter fun x => isClosed_iInter fun y => isClosed_eq _ _
   exact
     ((ContinuousLinearMap.apply 𝕜 A _).Continuous.comp <| continuous_unop.comp continuous_snd).mul
       continuous_const
@@ -685,18 +685,18 @@ instance : CstarRing 𝓜(𝕜, A)
         simp only [mul_snd, ← Sup_closed_unit_ball_eq_nnnorm, star_snd, mul_apply]
         simp only [← @op_nnnorm_mul 𝕜 A]
         simp only [← Sup_closed_unit_ball_eq_nnnorm, mul_apply']
-        refine' csupₛ_eq_of_forall_le_of_forall_lt_exists_gt (hball.image _) _ fun r hr => _
+        refine' csSup_eq_of_forall_le_of_forall_lt_exists_gt (hball.image _) _ fun r hr => _
         · rintro - ⟨x, hx, rfl⟩
-          refine' csupₛ_le (hball.image _) _
+          refine' csSup_le (hball.image _) _
           rintro - ⟨y, hy, rfl⟩
           exact key x y (mem_closedBall_zero_iff.1 hx) (mem_closedBall_zero_iff.1 hy)
         · simp only [Set.mem_image, Set.mem_setOf_eq, exists_prop, exists_exists_and_eq_and]
           have hr' : r.sqrt < ‖a‖₊ := ‖a‖₊.sqrt_mul_self ▸ NNReal.sqrt_lt_sqrt_iff.2 hr
           simp_rw [← nnnorm_fst, ← Sup_closed_unit_ball_eq_nnnorm] at hr'
-          obtain ⟨_, ⟨x, hx, rfl⟩, hxr⟩ := exists_lt_of_lt_csupₛ (hball.image _) hr'
+          obtain ⟨_, ⟨x, hx, rfl⟩, hxr⟩ := exists_lt_of_lt_csSup (hball.image _) hr'
           have hx' : ‖x‖₊ ≤ 1 := mem_closedBall_zero_iff.1 hx
           refine' ⟨star x, mem_closedBall_zero_iff.2 ((nnnorm_star x).trans_le hx'), _⟩
-          refine' lt_csupₛ_of_lt _ ⟨x, hx, rfl⟩ _
+          refine' lt_csSup_of_lt _ ⟨x, hx, rfl⟩ _
           · refine' ⟨‖a‖₊ * ‖a‖₊, _⟩
             rintro - ⟨y, hy, rfl⟩
             exact key (star x) y ((nnnorm_star x).trans_le hx') (mem_closedBall_zero_iff.1 hy)

mathlib commit https://github.com/leanprover-community/mathlib/commit/55d771df074d0dd020139ee1cd4b95521422df9f

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux, Jon Bannon
 
 ! This file was ported from Lean 3 source module analysis.normed_space.star.multiplier
-! leanprover-community/mathlib commit 651f93df29be483df3eb3778e1500fbf18bac41e
+! leanprover-community/mathlib commit d3af0609f6db8691dffdc3e1fb7feb7da72698f2
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -547,7 +547,7 @@ theorem nnnorm_def' (a : 𝓜(𝕜, A)) : ‖a‖₊ = ‖a.toProdMulOppositeHom
 #align double_centralizer.nnnorm_def' DoubleCentralizer.nnnorm_def'
 
 instance : NormedSpace 𝕜 𝓜(𝕜, A) :=
-  { DoubleCentralizer.module with norm_smul_le := fun k a => (norm_smul k a.toProdMulOpposite).le }
+  { DoubleCentralizer.module with norm_smul_le := fun k a => norm_smul_le k a.toProdMulOpposite }
 
 instance : NormedAlgebra 𝕜 𝓜(𝕜, A) :=
   { DoubleCentralizer.algebra, DoubleCentralizer.normedSpace with }

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

@@ -117,7 +117,7 @@ instance : Add 𝓜(𝕜, A)
 instance : Zero 𝓜(𝕜, A)
     where zero :=
     { toProd := 0
-      central := fun x y => (zero_mul y).trans (mul_zero x).symm }
+      central := fun x y => (MulZeroClass.zero_mul y).trans (MulZeroClass.mul_zero x).symm }
 
 instance : Neg 𝓜(𝕜, A)
     where neg a :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

@@ -598,7 +598,7 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
     calc
       ‖a.fst b‖₊ ^ 2 = ‖star (a.fst b) * a.fst b‖₊ := by
         simpa only [← sq] using CstarRing.nnnorm_star_mul_self.symm
-      _ ≤ ‖a.snd (star (a.fst b))‖₊ * ‖b‖₊ := a.central (star (a.fst b)) b ▸ nnnorm_mul_le _ _
+      _ ≤ ‖a.snd (star (a.fst b))‖₊ * ‖b‖₊ := (a.central (star (a.fst b)) b ▸ nnnorm_mul_le _ _)
       _ ≤ ‖a.snd‖₊ * ‖a.fst b‖₊ * ‖b‖₊ :=
         nnnorm_star (a.fst b) ▸ mul_le_mul_right' (a.snd.le_op_nnnorm _) _
       
@@ -609,8 +609,8 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ :=
       ‖a.snd b‖₊ ^ 2 = ‖a.snd b * star (a.snd b)‖₊ := by
         simpa only [← sq] using CstarRing.nnnorm_self_mul_star.symm
       _ ≤ ‖b‖₊ * ‖a.fst (star (a.snd b))‖₊ :=
-        (a.central b (star (a.snd b))).symm ▸ nnnorm_mul_le _ _
-      _ = ‖a.fst (star (a.snd b))‖₊ * ‖b‖₊ := mul_comm _ _
+        ((a.central b (star (a.snd b))).symm ▸ nnnorm_mul_le _ _)
+      _ = ‖a.fst (star (a.snd b))‖₊ * ‖b‖₊ := (mul_comm _ _)
       _ ≤ ‖a.fst‖₊ * ‖a.snd b‖₊ * ‖b‖₊ :=
         nnnorm_star (a.snd b) ▸ mul_le_mul_right' (a.fst.le_op_nnnorm _) _
       
@@ -677,8 +677,8 @@ instance : CstarRing 𝓜(𝕜, A)
             ‖star (a.fst (star x)) * a.fst y‖₊ ≤ ‖a.fst (star x)‖₊ * ‖a.fst y‖₊ :=
               nnnorm_star (a.fst (star x)) ▸ nnnorm_mul_le _ _
             _ ≤ ‖a.fst‖₊ * 1 * (‖a.fst‖₊ * 1) :=
-              mul_le_mul' (a.fst.le_op_norm_of_le ((nnnorm_star x).trans_le hx))
-                (a.fst.le_op_norm_of_le hy)
+              (mul_le_mul' (a.fst.le_op_norm_of_le ((nnnorm_star x).trans_le hx))
+                (a.fst.le_op_norm_of_le hy))
             _ ≤ ‖a‖₊ * ‖a‖₊ := by simp only [mul_one, nnnorm_fst]
             
         rw [← nnnorm_snd]

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

@@ -60,7 +60,7 @@ separately.
 -/
 
 
-open NNReal Ennreal
+open NNReal ENNReal
 
 open NNReal ContinuousLinearMap MulOpposite
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/271bf175e6c51b8d31d6c0107b7bb4a967c7277e

Now that I am defining NNRat.cast, I want a definitive answer to this naming issue. Plenty of lemmas in mathlib already use natCast/intCast/ratCast over nat_cast/int_cast/rat_cast, and this matches with the general expectation that underscore-separated name parts correspond to a single declaration.

@@ -233,14 +233,14 @@ theorem one_toProd : (1 : 𝓜(𝕜, A)).toProd = 1 :=
 #align double_centralizer.one_to_prod DoubleCentralizer.one_toProd
 
 @[simp]
-theorem nat_cast_toProd (n : ℕ) : (n : 𝓜(𝕜, A)).toProd = n :=
+theorem natCast_toProd (n : ℕ) : (n : 𝓜(𝕜, A)).toProd = n :=
   rfl
-#align double_centralizer.nat_cast_to_prod DoubleCentralizer.nat_cast_toProd
+#align double_centralizer.nat_cast_to_prod DoubleCentralizer.natCast_toProd
 
 @[simp]
-theorem int_cast_toProd (n : ℤ) : (n : 𝓜(𝕜, A)).toProd = n :=
+theorem intCast_toProd (n : ℤ) : (n : 𝓜(𝕜, A)).toProd = n :=
   rfl
-#align double_centralizer.int_cast_to_prod DoubleCentralizer.int_cast_toProd
+#align double_centralizer.int_cast_to_prod DoubleCentralizer.intCast_toProd
 
 @[simp]
 theorem pow_toProd (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).toProd = a.toProd ^ n :=
@@ -297,21 +297,21 @@ theorem mul_snd (a b : 𝓜(𝕜, A)) : (a * b).snd = b.snd * a.snd :=
   rfl
 #align double_centralizer.mul_snd DoubleCentralizer.mul_snd
 
-theorem nat_cast_fst (n : ℕ) : (n : 𝓜(𝕜, A)).fst = n :=
+theorem natCast_fst (n : ℕ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
-#align double_centralizer.nat_cast_fst DoubleCentralizer.nat_cast_fst
+#align double_centralizer.nat_cast_fst DoubleCentralizer.natCast_fst
 
-theorem nat_cast_snd (n : ℕ) : (n : 𝓜(𝕜, A)).snd = n :=
+theorem natCast_snd (n : ℕ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
-#align double_centralizer.nat_cast_snd DoubleCentralizer.nat_cast_snd
+#align double_centralizer.nat_cast_snd DoubleCentralizer.natCast_snd
 
-theorem int_cast_fst (n : ℤ) : (n : 𝓜(𝕜, A)).fst = n :=
+theorem intCast_fst (n : ℤ) : (n : 𝓜(𝕜, A)).fst = n :=
   rfl
-#align double_centralizer.int_cast_fst DoubleCentralizer.int_cast_fst
+#align double_centralizer.int_cast_fst DoubleCentralizer.intCast_fst
 
-theorem int_cast_snd (n : ℤ) : (n : 𝓜(𝕜, A)).snd = n :=
+theorem intCast_snd (n : ℤ) : (n : 𝓜(𝕜, A)).snd = n :=
   rfl
-#align double_centralizer.int_cast_snd DoubleCentralizer.int_cast_snd
+#align double_centralizer.int_cast_snd DoubleCentralizer.intCast_snd
 
 theorem pow_fst (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).fst = a.fst ^ n :=
   rfl

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -615,7 +615,7 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ := by
         simpa only [← sq] using CstarRing.nnnorm_self_mul_star.symm
       _ ≤ ‖b‖₊ * ‖a.fst (star (a.snd b))‖₊ :=
         ((a.central b (star (a.snd b))).symm ▸ nnnorm_mul_le _ _)
-      _ = ‖a.fst (star (a.snd b))‖₊ * ‖b‖₊ := (mul_comm _ _)
+      _ = ‖a.fst (star (a.snd b))‖₊ * ‖b‖₊ := mul_comm _ _
       _ ≤ ‖a.fst‖₊ * ‖a.snd b‖₊ * ‖b‖₊ :=
         nnnorm_star (a.snd b) ▸ mul_le_mul_right' (a.fst.le_opNNNorm _) _
 

We change the following field in the definition of an additive commutative monoid:

 nsmul_succ : ∀ (n : ℕ) (x : G),
-  AddMonoid.nsmul (n + 1) x = x + AddMonoid.nsmul n x
+  AddMonoid.nsmul (n + 1) x = AddMonoid.nsmul n x + x

where the latter is more natural

We adjust the definitions of ^ in monoids, groups, etc. Originally there was a warning comment about why this natural order was preferred

use x * npowRec n x and not npowRec n x * x in the definition to make sure that definitional unfolding of npowRec is blocked, to avoid deep recursion issues.

but it seems to no longer apply.

Remarks on the PR :

• pow_succ and pow_succ' have switched their meanings.
• Most of the time, the proofs were adjusted by priming/unpriming one lemma, or exchanging left and right; a few proofs were more complicated to adjust.
• In particular, [Mathlib/NumberTheory/RamificationInertia.lean] used Ideal.IsPrime.mul_mem_pow which is defined in [Mathlib/RingTheory/DedekindDomain/Ideal.lean]. Changing the order of operation forced me to add the symmetric lemma Ideal.IsPrime.mem_pow_mul.
• the docstring for Cauchy condensation test in [Mathlib/Analysis/PSeries.lean] was mathematically incorrect, I added the mention that the function is antitone.

@@ -202,7 +202,7 @@ instance instPow : Pow 𝓜(𝕜, A) ℕ where
       induction' n with k hk generalizing x y
       · rfl
       · rw [Prod.pow_snd, Prod.pow_fst] at hk ⊢
-        rw [pow_succ a.snd, mul_apply, a.central, hk, pow_succ' a.fst, mul_apply]⟩
+        rw [pow_succ' a.snd, mul_apply, a.central, hk, pow_succ a.fst, mul_apply]⟩
 
 instance instInhabited : Inhabited 𝓜(𝕜, A) :=
   ⟨0⟩

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

@@ -89,7 +89,6 @@ namespace DoubleCentralizer
 section NontriviallyNormed
 
 variable (𝕜 A : Type*) [NontriviallyNormedField 𝕜] [NonUnitalNormedRing A]
-
 variable [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A]
 
 /-!
@@ -652,9 +651,7 @@ end NontriviallyNormed
 section DenselyNormed
 
 variable {𝕜 A : Type*} [DenselyNormedField 𝕜] [StarRing 𝕜]
-
 variable [NonUnitalNormedRing A] [StarRing A] [CstarRing A]
-
 variable [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A] [StarModule 𝕜 A]
 
 instance instCstarRing : CstarRing 𝓜(𝕜, A) where

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

• converts "--porting note" into "-- Porting note";
• converts "porting note" into "Porting note".

@@ -75,7 +75,7 @@ scoped[MultiplierAlgebra] notation "𝓜(" 𝕜 ", " A ")" => DoubleCentralizer
 
 open MultiplierAlgebra
 
--- porting note: `ext` was generating the wrong extensionality lemma; it deconstructed the `×`.
+-- Porting note: `ext` was generating the wrong extensionality lemma; it deconstructed the `×`.
 @[ext]
 lemma DoubleCentralizer.ext (𝕜 : Type u) (A : Type v) [NontriviallyNormedField 𝕜]
     [NonUnitalNormedRing A] [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A]
@@ -473,7 +473,7 @@ maps `Lₐ Rₐ : A →L[𝕜] A` given by left- and right-multiplication by `a`
 Warning: if `A = 𝕜`, then this is a coercion which is not definitionally equal to the
 `algebraMap 𝕜 𝓜(𝕜, 𝕜)` coercion, but these are propositionally equal. See
 `DoubleCentralizer.coe_eq_algebraMap` below. -/
--- porting note: added `noncomputable` because an IR check failed?
+-- Porting note: added `noncomputable` because an IR check failed?
 @[coe]
 protected noncomputable def coe (a : A) : 𝓜(𝕜, A) :=
   { fst := ContinuousLinearMap.mul 𝕜 A a

Split the 2300-line behemoth OperatorNorm.lean into 8 smaller files, of which the largest is 600 lines.

@@ -3,11 +3,9 @@ Copyright (c) 2022 Jireh Loreaux. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux, Jon Bannon
 -/
-import Mathlib.Algebra.Star.StarAlgHom
-import Mathlib.Analysis.NormedSpace.Star.Basic
-import Mathlib.Analysis.NormedSpace.OperatorNorm
-import Mathlib.Analysis.SpecialFunctions.Pow.NNReal
+import Mathlib.Analysis.NormedSpace.OperatorNorm.Completeness
 import Mathlib.Analysis.NormedSpace.Star.Unitization
+import Mathlib.Analysis.SpecialFunctions.Pow.NNReal
 
 #align_import analysis.normed_space.star.multiplier from "leanprover-community/mathlib"@"ba5ff5ad5d120fb0ef094ad2994967e9bfaf5112"
 

Use Lean 4 syntax fun x ↦ instead, matching the style guide. This is close to exhaustive for doc comments; mathlib has about 460 remaining uses of λ (not all in Lean 3 syntax).

@@ -99,8 +99,8 @@ variable [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A]
 
 Because the multiplier algebra is defined as the algebra of double centralizers, there is a natural
 injection `DoubleCentralizer.toProdMulOpposite : 𝓜(𝕜, A) → (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ`
-defined by `λ a, (a.fst, MulOpposite.op a.snd)`. We use this map to pull back the ring, module and
-algebra structure from `(A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ` to `𝓜(𝕜, A)`. -/
+defined by `fun a ↦ (a.fst, MulOpposite.op a.snd)`. We use this map to pull back the ring, module
+and algebra structure from `(A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ` to `𝓜(𝕜, A)`. -/
 
 variable {𝕜 A}
 

and other basic lemmas, including a version of Cauchy-Schwarz stated using Real.sqrt

From LeanAPAP

Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -596,12 +596,8 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ := by
       intro b
       convert mul_le_mul_right' (mul_le_mul_left' (f.le_opNNNorm b) C) ‖b‖₊ using 1
       ring
-    have :=
-      NNReal.div_le_of_le_mul
-        (f.opNNNorm_le_bound _
-          (by
-            simpa only [sqrt_sq, sqrt_mul] using fun b =>
-              sqrt_le_sqrt_iff.mpr ((h b).trans (h1 b))))
+    have := NNReal.div_le_of_le_mul $ f.opNNNorm_le_bound _ $ by
+      simpa only [sqrt_sq, sqrt_mul] using fun b ↦ sqrt_le_sqrt.2 $ (h b).trans (h1 b)
     convert NNReal.rpow_le_rpow this two_pos.le
     · simp only [NNReal.rpow_two, div_pow, sq_sqrt]
       simp only [sq, mul_self_div_self]
@@ -699,7 +695,7 @@ instance instCstarRing : CstarRing 𝓜(𝕜, A) where
         rintro - ⟨y, hy, rfl⟩
         exact key x y (mem_closedBall_zero_iff.1 hx) (mem_closedBall_zero_iff.1 hy)
       · simp only [Set.mem_image, Set.mem_setOf_eq, exists_prop, exists_exists_and_eq_and]
-        have hr' : NNReal.sqrt r < ‖a‖₊ := ‖a‖₊.sqrt_mul_self ▸ NNReal.sqrt_lt_sqrt_iff.2 hr
+        have hr' : NNReal.sqrt r < ‖a‖₊ := ‖a‖₊.sqrt_mul_self ▸ NNReal.sqrt_lt_sqrt.2 hr
         simp_rw [← nnnorm_fst, ← sSup_closed_unit_ball_eq_nnnorm] at hr'
         obtain ⟨_, ⟨x, hx, rfl⟩, hxr⟩ := exists_lt_of_lt_csSup (hball.image _) hr'
         have hx' : ‖x‖₊ ≤ 1 := mem_closedBall_zero_iff.1 hx

Co-authored-by: adomani <adomani@gmail.com>

@@ -594,11 +594,11 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ := by
     intro f C h
     have h1 : ∀ b, C * ‖f b‖₊ * ‖b‖₊ ≤ C * ‖f‖₊ * ‖b‖₊ ^ 2 := by
       intro b
-      convert mul_le_mul_right' (mul_le_mul_left' (f.le_op_nnnorm b) C) ‖b‖₊ using 1
+      convert mul_le_mul_right' (mul_le_mul_left' (f.le_opNNNorm b) C) ‖b‖₊ using 1
       ring
     have :=
       NNReal.div_le_of_le_mul
-        (f.op_nnnorm_le_bound _
+        (f.opNNNorm_le_bound _
           (by
             simpa only [sqrt_sq, sqrt_mul] using fun b =>
               sqrt_le_sqrt_iff.mpr ((h b).trans (h1 b))))
@@ -613,7 +613,7 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ := by
         simpa only [← sq] using CstarRing.nnnorm_star_mul_self.symm
       _ ≤ ‖a.snd (star (a.fst b))‖₊ * ‖b‖₊ := (a.central (star (a.fst b)) b ▸ nnnorm_mul_le _ _)
       _ ≤ ‖a.snd‖₊ * ‖a.fst b‖₊ * ‖b‖₊ :=
-        nnnorm_star (a.fst b) ▸ mul_le_mul_right' (a.snd.le_op_nnnorm _) _
+        nnnorm_star (a.fst b) ▸ mul_le_mul_right' (a.snd.le_opNNNorm _) _
 
   have h2 : ∀ b, ‖a.snd b‖₊ ^ 2 ≤ ‖a.fst‖₊ * ‖a.snd b‖₊ * ‖b‖₊ := by
     intro b
@@ -624,7 +624,7 @@ theorem norm_fst_eq_snd (a : 𝓜(𝕜, A)) : ‖a.fst‖ = ‖a.snd‖ := by
         ((a.central b (star (a.snd b))).symm ▸ nnnorm_mul_le _ _)
       _ = ‖a.fst (star (a.snd b))‖₊ * ‖b‖₊ := (mul_comm _ _)
       _ ≤ ‖a.fst‖₊ * ‖a.snd b‖₊ * ‖b‖₊ :=
-        nnnorm_star (a.snd b) ▸ mul_le_mul_right' (a.fst.le_op_nnnorm _) _
+        nnnorm_star (a.snd b) ▸ mul_le_mul_right' (a.fst.le_opNNNorm _) _
 
   exact le_antisymm (h0 _ _ h1) (h0 _ _ h2)
 #align double_centralizer.norm_fst_eq_snd DoubleCentralizer.norm_fst_eq_snd
@@ -686,12 +686,12 @@ instance instCstarRing : CstarRing 𝓜(𝕜, A) where
           ‖star (a.fst (star x)) * a.fst y‖₊ ≤ ‖a.fst (star x)‖₊ * ‖a.fst y‖₊ :=
             nnnorm_star (a.fst (star x)) ▸ nnnorm_mul_le _ _
           _ ≤ ‖a.fst‖₊ * 1 * (‖a.fst‖₊ * 1) :=
-            (mul_le_mul' (a.fst.le_op_norm_of_le ((nnnorm_star x).trans_le hx))
-              (a.fst.le_op_norm_of_le hy))
+            (mul_le_mul' (a.fst.le_opNorm_of_le ((nnnorm_star x).trans_le hx))
+              (a.fst.le_opNorm_of_le hy))
           _ ≤ ‖a‖₊ * ‖a‖₊ := by simp only [mul_one, nnnorm_fst, le_rfl]
       rw [← nnnorm_snd]
       simp only [mul_snd, ← sSup_closed_unit_ball_eq_nnnorm, star_snd, mul_apply]
-      simp only [← @op_nnnorm_mul_apply 𝕜 _ A]
+      simp only [← @opNNNorm_mul_apply 𝕜 _ A]
       simp only [← sSup_closed_unit_ball_eq_nnnorm, mul_apply']
       refine' csSup_eq_of_forall_le_of_forall_lt_exists_gt (hball.image _) _ fun r hr => _
       · rintro - ⟨x, hx, rfl⟩

@@ -519,7 +519,7 @@ noncomputable def coeHom [StarRing 𝕜] [StarRing A] [StarModule 𝕜 A] [Norme
   map_smul' _ _ := ext _ _ _ _ <| Prod.ext (map_smul _ _ _) (map_smul _ _ _)
   map_zero' := ext _ _ _ _ <| Prod.ext (map_zero _) (map_zero _)
   map_add' _ _ := ext _ _ _ _ <| Prod.ext (map_add _ _ _) (map_add _ _ _)
-  map_mul' _ _ :=  ext _ _ _ _ <| Prod.ext
+  map_mul' _ _ := ext _ _ _ _ <| Prod.ext
     (ContinuousLinearMap.ext fun _ => (mul_assoc _ _ _))
     (ContinuousLinearMap.ext fun _ => (mul_assoc _ _ _).symm)
   map_star' _ := ext _ _ _ _ <| Prod.ext

The names for lemmas about monotonicity of (a ^ ·) and (· ^ n) were a mess. This PR tidies up everything related by following the naming convention for (a * ·) and (· * b). Namely, (a ^ ·) is pow_right and (· ^ n) is pow_left in lemma names. All lemma renames follow the corresponding multiplication lemma names closely.

Renames

Algebra.GroupPower.Order

• pow_mono → pow_right_mono
• pow_le_pow → pow_le_pow_right
• pow_le_pow_of_le_left → pow_le_pow_left
• pow_lt_pow_of_lt_left → pow_lt_pow_left
• strictMonoOn_pow → pow_left_strictMonoOn
• pow_strictMono_right → pow_right_strictMono
• pow_lt_pow → pow_lt_pow_right
• pow_lt_pow_iff → pow_lt_pow_iff_right
• pow_le_pow_iff → pow_le_pow_iff_right
• self_lt_pow → lt_self_pow
• strictAnti_pow → pow_right_strictAnti
• pow_lt_pow_iff_of_lt_one → pow_lt_pow_iff_right_of_lt_one
• pow_lt_pow_of_lt_one → pow_lt_pow_right_of_lt_one
• lt_of_pow_lt_pow → lt_of_pow_lt_pow_left
• le_of_pow_le_pow → le_of_pow_le_pow_left
• pow_lt_pow₀ → pow_lt_pow_right₀

Algebra.GroupPower.CovariantClass

• pow_le_pow_of_le_left' → pow_le_pow_left'
• nsmul_le_nsmul_of_le_right → nsmul_le_nsmul_right
• pow_lt_pow' → pow_lt_pow_right'
• nsmul_lt_nsmul → nsmul_lt_nsmul_left
• pow_strictMono_left → pow_right_strictMono'
• nsmul_strictMono_right → nsmul_left_strictMono
• StrictMono.pow_right' → StrictMono.pow_const
• StrictMono.nsmul_left → StrictMono.const_nsmul
• pow_strictMono_right' → pow_left_strictMono
• nsmul_strictMono_left → nsmul_right_strictMono
• Monotone.pow_right → Monotone.pow_const
• Monotone.nsmul_left → Monotone.const_nsmul
• lt_of_pow_lt_pow' → lt_of_pow_lt_pow_left'
• lt_of_nsmul_lt_nsmul → lt_of_nsmul_lt_nsmul_right
• pow_le_pow' → pow_le_pow_right'
• nsmul_le_nsmul → nsmul_le_nsmul_left
• pow_le_pow_of_le_one' → pow_le_pow_right_of_le_one'
• nsmul_le_nsmul_of_nonpos → nsmul_le_nsmul_left_of_nonpos
• le_of_pow_le_pow' → le_of_pow_le_pow_left'
• le_of_nsmul_le_nsmul' → le_of_nsmul_le_nsmul_right'
• pow_le_pow_iff' → pow_le_pow_iff_right'
• nsmul_le_nsmul_iff → nsmul_le_nsmul_iff_left
• pow_lt_pow_iff' → pow_lt_pow_iff_right'
• nsmul_lt_nsmul_iff → nsmul_lt_nsmul_iff_left

Data.Nat.Pow

• Nat.pow_lt_pow_of_lt_left → Nat.pow_lt_pow_left
• Nat.pow_le_iff_le_left → Nat.pow_le_pow_iff_left
• Nat.pow_lt_iff_lt_left → Nat.pow_lt_pow_iff_left

Lemmas added

• pow_le_pow_iff_left
• pow_lt_pow_iff_left
• pow_right_injective
• pow_right_inj
• Nat.pow_le_pow_left to have the correct name since Nat.pow_le_pow_of_le_left is in Std.
• Nat.pow_le_pow_right to have the correct name since Nat.pow_le_pow_of_le_right is in Std.

Lemmas removed

• self_le_pow was a duplicate of le_self_pow.
• Nat.pow_lt_pow_of_lt_right is defeq to pow_lt_pow_right.
• Nat.pow_right_strictMono is defeq to pow_right_strictMono.
• Nat.pow_le_iff_le_right is defeq to pow_le_pow_iff_right.
• Nat.pow_lt_iff_lt_right is defeq to pow_lt_pow_iff_right.

Other changes

• A bunch of proofs have been golfed.
• Some lemma assumptions have been turned from 0 < n or 1 ≤ n to n ≠ 0.
• A few Nat lemmas have been protected.
• One docstring has been fixed.

@@ -709,7 +709,7 @@ instance instCstarRing : CstarRing 𝓜(𝕜, A) where
           rintro - ⟨y, hy, rfl⟩
           exact key (star x) y ((nnnorm_star x).trans_le hx') (mem_closedBall_zero_iff.1 hy)
         · simpa only [a.central, star_star, CstarRing.nnnorm_star_mul_self, NNReal.sq_sqrt, ← sq]
-            using pow_lt_pow_of_lt_left hxr zero_le' two_pos
+            using pow_lt_pow_left hxr zero_le' two_ne_zero
 
 end DenselyNormed
 

And fix some names in comments where this revealed issues

@@ -354,7 +354,7 @@ instance instRing : Ring 𝓜(𝕜, A) :=
     (fun _x _n => Prod.ext rfl <| MulOpposite.op_smul _ _)
     (fun _x _n => Prod.ext rfl <| MulOpposite.op_pow _ _) (fun _ => rfl) fun _ => rfl
 
-/-- The canonical map `double_centralizer.to_prod` as an additive group homomorphism. -/
+/-- The canonical map `DoubleCentralizer.toProd` as an additive group homomorphism. -/
 @[simps]
 def toProdHom : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A) where
   toFun := toProd

This shows that C⋆-algebras are always RegularNormedAlgebras, so that their Unitization is equipped with a norm. Moreover, we show this norm is a C⋆-norm.

• depends on: #5330
• depends on: #5741
• depends on: #5742
• depends on: #5743

@@ -691,7 +691,7 @@ instance instCstarRing : CstarRing 𝓜(𝕜, A) where
           _ ≤ ‖a‖₊ * ‖a‖₊ := by simp only [mul_one, nnnorm_fst, le_rfl]
       rw [← nnnorm_snd]
       simp only [mul_snd, ← sSup_closed_unit_ball_eq_nnnorm, star_snd, mul_apply]
-      simp only [← @_root_.op_nnnorm_mul 𝕜 A]
+      simp only [← @op_nnnorm_mul_apply 𝕜 _ A]
       simp only [← sSup_closed_unit_ball_eq_nnnorm, mul_apply']
       refine' csSup_eq_of_forall_le_of_forall_lt_exists_gt (hball.image _) _ fun r hr => _
       · rintro - ⟨x, hx, rfl⟩

Search&replace MulZeroClass.mul_zero -> mul_zero, MulZeroClass.zero_mul -> zero_mul.

These were introduced by Mathport, as the full name of mul_zero is actually MulZeroClass.mul_zero (it's exported with the short name).

@@ -122,7 +122,7 @@ instance instAdd : Add 𝓜(𝕜, A) where
 instance instZero : Zero 𝓜(𝕜, A) where
   zero :=
     { toProd := 0
-      central := fun x y => (MulZeroClass.zero_mul y).trans (MulZeroClass.mul_zero x).symm }
+      central := fun x y => (zero_mul y).trans (mul_zero x).symm }
 
 instance instNeg : Neg 𝓜(𝕜, A) where
   neg a :=

This constructs a norm on the Unitization 𝕜 A of a (possibly non-unital) normed algebra A, subject to the condition that ContinuousLinearMap.mul 𝕜 A is an isometry. A norm on A satisfying this property is said to be regular so we add the class RegularNormedAlgebra where this construction makes sense.

This norm is particularly nice because, among norms on the unitization of a RegularNormedAlgebra, this norm is minimal. Moreover, it is the (necessarily unique) C⋆-norm on the unitization when the norm on A is a C⋆-norm (see #5393)

• depends on: #5741

@@ -691,7 +691,7 @@ instance instCstarRing : CstarRing 𝓜(𝕜, A) where
           _ ≤ ‖a‖₊ * ‖a‖₊ := by simp only [mul_one, nnnorm_fst, le_rfl]
       rw [← nnnorm_snd]
       simp only [mul_snd, ← sSup_closed_unit_ball_eq_nnnorm, star_snd, mul_apply]
-      simp only [← @op_nnnorm_mul 𝕜 A]
+      simp only [← @_root_.op_nnnorm_mul 𝕜 A]
       simp only [← sSup_closed_unit_ball_eq_nnnorm, mul_apply']
       refine' csSup_eq_of_forall_le_of_forall_lt_exists_gt (hball.image _) _ fun r hr => _
       · rintro - ⟨x, hx, rfl⟩

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

This has nice performance benefits.

@@ -90,7 +90,7 @@ namespace DoubleCentralizer
 
 section NontriviallyNormed
 
-variable (𝕜 A : Type _) [NontriviallyNormedField 𝕜] [NonUnitalNormedRing A]
+variable (𝕜 A : Type*) [NontriviallyNormedField 𝕜] [NonUnitalNormedRing A]
 
 variable [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A]
 
@@ -140,7 +140,7 @@ instance instSub : Sub 𝓜(𝕜, A) where
 
 section Scalars
 
-variable {S : Type _} [Monoid S] [DistribMulAction S A] [SMulCommClass 𝕜 S A]
+variable {S : Type*} [Monoid S] [DistribMulAction S A] [SMulCommClass 𝕜 S A]
   [ContinuousConstSMul S A] [IsScalarTower S A A] [SMulCommClass S A A]
 
 instance instSMul : SMul S 𝓜(𝕜, A) where
@@ -163,7 +163,7 @@ theorem smul_snd (s : S) (a : 𝓜(𝕜, A)) : (s • a).snd = s • a.snd :=
   rfl
 #align double_centralizer.smul_snd DoubleCentralizer.smul_snd
 
-variable {T : Type _} [Monoid T] [DistribMulAction T A] [SMulCommClass 𝕜 T A]
+variable {T : Type*} [Monoid T] [DistribMulAction T A] [SMulCommClass 𝕜 T A]
   [ContinuousConstSMul T A] [IsScalarTower T A A] [SMulCommClass T A A]
 
 instance instIsScalarTower [SMul S T] [IsScalarTower S T A] : IsScalarTower S T 𝓜(𝕜, A) where
@@ -172,7 +172,7 @@ instance instIsScalarTower [SMul S T] [IsScalarTower S T A] : IsScalarTower S T
 instance instSMulCommClass [SMulCommClass S T A] : SMulCommClass S T 𝓜(𝕜, A) where
   smul_comm _ _ a := ext (𝕜 := 𝕜) (A := A) _ _ <| smul_comm _ _ a.toProd
 
-instance instIsCentralScalar {R : Type _} [Semiring R] [Module R A] [SMulCommClass 𝕜 R A]
+instance instIsCentralScalar {R : Type*} [Semiring R] [Module R A] [SMulCommClass 𝕜 R A]
     [ContinuousConstSMul R A] [IsScalarTower R A A] [SMulCommClass R A A] [Module Rᵐᵒᵖ A]
     [IsCentralScalar R A] : IsCentralScalar R 𝓜(𝕜, A) where
   op_smul_eq_smul _ a := ext (𝕜 := 𝕜) (A := A) _ _ <| op_smul_eq_smul _ a.toProd
@@ -374,7 +374,7 @@ def toProdMulOppositeHom : 𝓜(𝕜, A) →+* (A →L[𝕜] A) × (A →L[𝕜]
 
 /-- The module structure is inherited as the pullback under the additive group monomorphism
 `DoubleCentralizer.toProd : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A)` -/
-instance instModule {S : Type _} [Semiring S] [Module S A] [SMulCommClass 𝕜 S A]
+instance instModule {S : Type*} [Semiring S] [Module S A] [SMulCommClass 𝕜 S A]
     [ContinuousConstSMul S A] [IsScalarTower S A A] [SMulCommClass S A A] : Module S 𝓜(𝕜, A) :=
   Function.Injective.module S toProdHom (ext (𝕜 := 𝕜) (A := A)) fun _x _y => rfl
 
@@ -657,7 +657,7 @@ end NontriviallyNormed
 
 section DenselyNormed
 
-variable {𝕜 A : Type _} [DenselyNormedField 𝕜] [StarRing 𝕜]
+variable {𝕜 A : Type*} [DenselyNormedField 𝕜] [StarRing 𝕜]
 
 variable [NonUnitalNormedRing A] [StarRing A] [CstarRing A]
 

coeHom now elaborates 10x faster on my machine. While perhaps a bit cryptic, this new spelling makes it clear which bit of the proofs are not just unfolding.

@@ -504,10 +504,10 @@ theorem coe_snd (a : A) : (a : 𝓜(𝕜, A)).snd = (ContinuousLinearMap.mul 
 #align double_centralizer.coe_snd DoubleCentralizer.coe_snd
 
 theorem coe_eq_algebraMap : (DoubleCentralizer.coe 𝕜 : 𝕜 → 𝓜(𝕜, 𝕜)) = algebraMap 𝕜 𝓜(𝕜, 𝕜) := by
-  ext <;>
-  simp only [coe_fst, mul_apply', mul_one, algebraMap_toProd, Prod.algebraMap_apply, coe_snd,
-    flip_apply, one_mul] <;>
-  simp only [Algebra.algebraMap_eq_smul_one, smul_apply, one_apply, smul_eq_mul, mul_one]
+  ext x : 3
+  · rfl -- `fst` is defeq
+  · refine ContinuousLinearMap.ext fun y => ?_
+    exact mul_comm y x  -- `snd` multiplies on the wrong side
 #align double_centralizer.coe_eq_algebra_map DoubleCentralizer.coe_eq_algebraMap
 
 /-- The coercion of an algebra into its multiplier algebra as a non-unital star algebra
@@ -516,17 +516,15 @@ homomorphism. -/
 noncomputable def coeHom [StarRing 𝕜] [StarRing A] [StarModule 𝕜 A] [NormedStarGroup A] :
     A →⋆ₙₐ[𝕜] 𝓜(𝕜, A) where
   toFun a := a
-  map_smul' k a := by
-    ext <;> simp only [coe_fst, coe_snd, ContinuousLinearMap.map_smul, smul_fst, smul_snd]
-  map_zero' := by ext <;> simp only [coe_fst, coe_snd, map_zero, zero_fst, zero_snd]
-  map_add' a b := by ext <;> simp only [coe_fst, coe_snd, map_add, add_fst, add_snd]
-  map_mul' a b := by
-    ext <;>
-      simp only [coe_fst, coe_snd, mul_apply', flip_apply, mul_fst, mul_snd,
-        ContinuousLinearMap.coe_mul, Function.comp_apply, mul_assoc]
-  map_star' a := by
-    ext <;>
-      simp only [coe_fst, coe_snd, mul_apply', star_fst, star_snd, flip_apply, star_mul, star_star]
+  map_smul' _ _ := ext _ _ _ _ <| Prod.ext (map_smul _ _ _) (map_smul _ _ _)
+  map_zero' := ext _ _ _ _ <| Prod.ext (map_zero _) (map_zero _)
+  map_add' _ _ := ext _ _ _ _ <| Prod.ext (map_add _ _ _) (map_add _ _ _)
+  map_mul' _ _ :=  ext _ _ _ _ <| Prod.ext
+    (ContinuousLinearMap.ext fun _ => (mul_assoc _ _ _))
+    (ContinuousLinearMap.ext fun _ => (mul_assoc _ _ _).symm)
+  map_star' _ := ext _ _ _ _ <| Prod.ext
+    (ContinuousLinearMap.ext fun _ => (star_star_mul _ _).symm)
+    (ContinuousLinearMap.ext fun _ => (star_mul_star _ _).symm)
 #align double_centralizer.coe_hom DoubleCentralizer.coeHom
 
 /-!

• depends on: #5966

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

@@ -2,11 +2,6 @@
 Copyright (c) 2022 Jireh Loreaux. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux, Jon Bannon
-
-! This file was ported from Lean 3 source module analysis.normed_space.star.multiplier
-! leanprover-community/mathlib commit ba5ff5ad5d120fb0ef094ad2994967e9bfaf5112
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Star.StarAlgHom
 import Mathlib.Analysis.NormedSpace.Star.Basic
@@ -14,6 +9,8 @@ import Mathlib.Analysis.NormedSpace.OperatorNorm
 import Mathlib.Analysis.SpecialFunctions.Pow.NNReal
 import Mathlib.Analysis.NormedSpace.Star.Unitization
 
+#align_import analysis.normed_space.star.multiplier from "leanprover-community/mathlib"@"ba5ff5ad5d120fb0ef094ad2994967e9bfaf5112"
+
 /-!
 # Multiplier Algebra of a C⋆-algebra
 

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

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

@@ -669,7 +669,7 @@ variable [NonUnitalNormedRing A] [StarRing A] [CstarRing A]
 variable [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A] [StarModule 𝕜 A]
 
 instance instCstarRing : CstarRing 𝓜(𝕜, A) where
-  norm_star_mul_self := @fun (a : 𝓜(𝕜, A)) =>  congr_arg ((↑) : ℝ≥0 → ℝ) <|
+  norm_star_mul_self := @fun (a : 𝓜(𝕜, A)) => congr_arg ((↑) : ℝ≥0 → ℝ) <|
     show ‖star a * a‖₊ = ‖a‖₊ * ‖a‖₊ by
     /- The essence of the argument is this: let `a = (L,R)` and recall `‖a‖ = ‖L‖`.
     `star a = (star ∘ R ∘ star, star ∘ L ∘ star)`. Then for any `x y : A`, we have

@@ -12,7 +12,7 @@ import Mathlib.Algebra.Star.StarAlgHom
 import Mathlib.Analysis.NormedSpace.Star.Basic
 import Mathlib.Analysis.NormedSpace.OperatorNorm
 import Mathlib.Analysis.SpecialFunctions.Pow.NNReal
-import Mathlib.Analysis.NormedSpace.Star.Mul
+import Mathlib.Analysis.NormedSpace.Star.Unitization
 
 /-!
 # Multiplier Algebra of a C⋆-algebra

Changes are of the form

• some_tactic at h⊢ -> some_tactic at h ⊢
• some_tactic at h -> some_tactic at h

@@ -207,7 +207,7 @@ instance instPow : Pow 𝓜(𝕜, A) ℕ where
     ⟨a.toProd ^ n, fun x y => by
       induction' n with k hk generalizing x y
       · rfl
-      · rw [Prod.pow_snd, Prod.pow_fst] at hk⊢
+      · rw [Prod.pow_snd, Prod.pow_fst] at hk ⊢
         rw [pow_succ a.snd, mul_apply, a.central, hk, pow_succ' a.fst, mul_apply]⟩
 
 instance instInhabited : Inhabited 𝓜(𝕜, A) :=

These are all doc fixes

@@ -71,7 +71,7 @@ If `x : 𝓜(𝕜, A)`, then `x.fst` and `x.snd` are what is usually referred to
 structure DoubleCentralizer (𝕜 : Type u) (A : Type v) [NontriviallyNormedField 𝕜]
     [NonUnitalNormedRing A] [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A] extends
     (A →L[𝕜] A) × (A →L[𝕜] A) where
-  /-- The centrality codnition that the maps linear maps intertwine one another. -/
+  /-- The centrality condition that the maps linear maps intertwine one another. -/
   central : ∀ x y : A, snd x * y = x * fst y
 #align double_centralizer DoubleCentralizer
 
@@ -80,7 +80,7 @@ scoped[MultiplierAlgebra] notation "𝓜(" 𝕜 ", " A ")" => DoubleCentralizer
 
 open MultiplierAlgebra
 
--- porting note: `ext` was generating the wrong extensionality lemma; it deconstucted the `×`.
+-- porting note: `ext` was generating the wrong extensionality lemma; it deconstructed the `×`.
 @[ext]
 lemma DoubleCentralizer.ext (𝕜 : Type u) (A : Type v) [NontriviallyNormedField 𝕜]
     [NonUnitalNormedRing A] [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A]
@@ -544,7 +544,7 @@ that `𝓜(𝕜, A)` is also a C⋆-algebra. Moreover, in this case, for `a : 
 `‖a‖ = ‖a.fst‖ = ‖a.snd‖`. -/
 
 
-/-- The normed group structure is inherited as the pullback under the ring monomoprhism
+/-- The normed group structure is inherited as the pullback under the ring monomorphism
 `DoubleCentralizer.toProdMulOppositeHom : 𝓜(𝕜, A) →+* (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ`. -/
 noncomputable instance : NormedRing 𝓜(𝕜, A) :=
   NormedRing.induced _ _ (toProdMulOppositeHom : 𝓜(𝕜, A) →+* (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Alex J Best <alex.j.best@gmail.com>

@@ -511,7 +511,6 @@ theorem coe_eq_algebraMap : (DoubleCentralizer.coe 𝕜 : 𝕜 → 𝓜(𝕜, 
   simp only [coe_fst, mul_apply', mul_one, algebraMap_toProd, Prod.algebraMap_apply, coe_snd,
     flip_apply, one_mul] <;>
   simp only [Algebra.algebraMap_eq_smul_one, smul_apply, one_apply, smul_eq_mul, mul_one]
-  exact mul_comm _ _
 #align double_centralizer.coe_eq_algebra_map DoubleCentralizer.coe_eq_algebraMap
 
 /-- The coercion of an algebra into its multiplier algebra as a non-unital star algebra

@@ -60,9 +60,7 @@ separately.
 -/
 
 
-open NNReal ENNReal
-
-open NNReal ContinuousLinearMap MulOpposite
+open NNReal ENNReal ContinuousLinearMap MulOpposite
 
 universe u v
 
@@ -87,7 +85,9 @@ open MultiplierAlgebra
 lemma DoubleCentralizer.ext (𝕜 : Type u) (A : Type v) [NontriviallyNormedField 𝕜]
     [NonUnitalNormedRing A] [NormedSpace 𝕜 A] [SMulCommClass 𝕜 A A] [IsScalarTower 𝕜 A A]
     (a b : 𝓜(𝕜, A)) (h : a.toProd = b.toProd) : a = b := by
-  cases a; cases b; simpa using h
+  cases a
+  cases b
+  simpa using h
 
 namespace DoubleCentralizer
 
@@ -185,8 +185,8 @@ end Scalars
 instance instOne : One 𝓜(𝕜, A) :=
   ⟨⟨1, fun _x _y => rfl⟩⟩
 
-instance instMul : Mul 𝓜(𝕜, A)
-    where mul a b :=
+instance instMul : Mul 𝓜(𝕜, A) where
+  mul a b :=
     { toProd := (a.fst.comp b.fst, b.snd.comp a.snd)
       central := fun x y => show b.snd (a.snd x) * y = x * a.fst (b.fst y) by simp only [central] }
 
@@ -327,7 +327,7 @@ theorem pow_snd (n : ℕ) (a : 𝓜(𝕜, A)) : (a ^ n).snd = a.snd ^ n :=
   rfl
 #align double_centralizer.pow_snd DoubleCentralizer.pow_snd
 
-/-- The natural injection from `double_centralizer.to_prod` except the second coordinate inherits
+/-- The natural injection from `DoubleCentralizer.toProd` except the second coordinate inherits
 `MulOpposite.op`. The ring structure on `𝓜(𝕜, A)` is the pullback under this map. -/
 def toProdMulOpposite : 𝓜(𝕜, A) → (A →L[𝕜] A) × (A →L[𝕜] A)ᵐᵒᵖ := fun a =>
   (a.fst, MulOpposite.op a.snd)
@@ -376,7 +376,7 @@ def toProdMulOppositeHom : 𝓜(𝕜, A) →+* (A →L[𝕜] A) × (A →L[𝕜]
 #align double_centralizer.to_prod_mul_opposite_hom DoubleCentralizer.toProdMulOppositeHom
 
 /-- The module structure is inherited as the pullback under the additive group monomorphism
-`double_centralizer.to_prod : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A)` -/
+`DoubleCentralizer.toProd : 𝓜(𝕜, A) →+ (A →L[𝕜] A) × (A →L[𝕜] A)` -/
 instance instModule {S : Type _} [Semiring S] [Module S A] [SMulCommClass 𝕜 S A]
     [ContinuousConstSMul S A] [IsScalarTower S A A] [SMulCommClass S A A] : Module S 𝓜(𝕜, A) :=
   Function.Injective.module S toProdHom (ext (𝕜 := 𝕜) (A := A)) fun _x _y => rfl
@@ -424,7 +424,7 @@ section Star
 variable [StarRing 𝕜] [StarRing A] [StarModule 𝕜 A] [NormedStarGroup A]
 
 /-- The star operation on `a : 𝓜(𝕜, A)` is given by
-`(star a).to_prod = (star ∘ a.snd ∘ star, star ∘ a.fst ∘ star)`. -/
+`(star a).toProd = (star ∘ a.snd ∘ star, star ∘ a.fst ∘ star)`. -/
 instance instStar : Star 𝓜(𝕜, A) where
   star a :=
     { fst :=